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Finding the Third Proportional to 234,382.50 and 331,866.56

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Solution

The third proportional to 234,382.50 and 331,866.56 is: 469,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,382.50 : 331,866.56 = 331,866.56 : x
  2. Step 2: Convert to fraction form
    234,382.50/331,866.56 = 331,866.56/x
  3. Step 3: Cross multiply
    234,382.50x = 331,866.56 × 331,866.56
  4. Step 4: Simplify right side
    234,382.50x = 110,135,415,305.57
  5. Step 5: Solve for x
    x = 110,135,415,305.57/234,382.50
  6. Step 6: Final answer
    x = 469,896.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.