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Finding the Third Proportional to 76,804.50 and 158,936.25

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Solution

The third proportional to 76,804.50 and 158,936.25 is: 328,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.50 : 158,936.25 = 158,936.25 : x
  2. Step 2: Convert to fraction form
    76,804.50/158,936.25 = 158,936.25/x
  3. Step 3: Cross multiply
    76,804.50x = 158,936.25 × 158,936.25
  4. Step 4: Simplify right side
    76,804.50x = 25,260,731,564.06
  5. Step 5: Solve for x
    x = 25,260,731,564.06/76,804.50
  6. Step 6: Final answer
    x = 328,896.50

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.