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We report on results of Chandra X-ray observations of the southwestern partof the supernova remnant (SNR) RX J1713.7$-$3946. We measure proper motions oftwo X-ray bright blobs, named Blobs A and B, in regions presumablycorresponding to the forward shock of the SNR. The measured velocities are$3800 \pm 100~\mathrm{km}~\mathrm{s}^{-1}$ and $2300 \pm200~\mathrm{km}~\mathrm{s}^{-1}$ for Blobs A and B, respectively. Since a densemolecular clump is located close to Blob B, its slower velocity is attributedto shock deceleration as a result of a shock-cloud interaction. This resultprovides solid evidence that the forward shock of RX J1713.7$-$3946 is indeedcolliding with dense gas discovered through radio observations reported in theliterature. The locations and velocity differences of the two blobs lead to anestimate that the shock encountered with the dense gas $\sim 100~\mathrm{yr}$ago. The shock velocities, together with cutoff energies of the synchrotronX-ray spectra of the blobs, indicate that particle acceleration in theseregions is close to the Bohm limit. Blob B, in particular, is almost at thelimit, accelerating particles at the fastest possible rate. We discuss possibleinfluence of the shock-cloud interaction on the efficiency of particleacceleration.