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Finding the Third Proportional to 142,787.25 and 307,104.75

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Solution

The third proportional to 142,787.25 and 307,104.75 is: 660,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,787.25 : 307,104.75 = 307,104.75 : x
  2. Step 2: Convert to fraction form
    142,787.25/307,104.75 = 307,104.75/x
  3. Step 3: Cross multiply
    142,787.25x = 307,104.75 × 307,104.75
  4. Step 4: Simplify right side
    142,787.25x = 94,313,327,472.56
  5. Step 5: Solve for x
    x = 94,313,327,472.56/142,787.25
  6. Step 6: Final answer
    x = 660,516.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.