Here is an arithmetic progression on the blackboard:  $$2$$, $$5$$, $$8$$, $$11$$, $$14$$, $$17$$, $$\cdots$$$$242$$  Each time you erase the first three terms and write down the sum of these three terms at the at the end of the arithmetic progression. Finally the blackboard is left with only $3$ numbers. What is the second number on the blackboard? 
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