Does fasting the Ayyam al-Bid (the White Days) consecutively, which goes against the the practice of fasting one day and breaking fast the next, necessitate breaking fast for three consecutive days to balance it out?

Fasting one day and breaking fast one day is the best form of fasting. If the day of breaking fast coincides with a day whose fasting is sunnah (recommended) (such as Monday, Thursday, and the White Days), then it is better to break fast on that day, and the reward will be more complete. This is the apparent view of the Shafi'i jurists. Excluded from this are the days of Ashura and Arafah, for which the preponderant opinion is that fasting them is better, even if they coincide with a day of breaking fast.