You can find the specific .srt files for this release on these major platforms:

A comprehensive database where you can search for the exact Rush Hour 3 BluRay release to ensure the dialogue syncs perfectly with your video file.

Often provides community-rated subtitles. Look for the "BluRay" or "x264" tags to avoid "out of sync" issues common with DVD or CAM rips.

If the subtitles are slightly off (usually due to a different studio logo intro), most media players like allow you to adjust timing on the fly: Press 'G' to delay the subtitle. Press 'H' to speed up the subtitle.