Expanding on what freddy77 said...
The offense has to respect the fact that you will throw through or there is no need to even bother with a cut play. They know you aren't going after the runner from first, and just hold the runner at third.
Since we tended to play the same teams several times a year, early on in the season I occasionally gave my catcher the green light to throw through.
This usually paid off well later in the season.
Of course there is always that beautiful outcome when the offense assumes that you won't throw through and you nail a jogging runner going in to second and the runner at third is still standing on the bag.