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Finding the Third Proportional to 150,736.57 and 331,007.13

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Solution

The third proportional to 150,736.57 and 331,007.13 is: 726,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736.57 : 331,007.13 = 331,007.13 : x
  2. Step 2: Convert to fraction form
    150,736.57/331,007.13 = 331,007.13/x
  3. Step 3: Cross multiply
    150,736.57x = 331,007.13 × 331,007.13
  4. Step 4: Simplify right side
    150,736.57x = 109,565,721,972.75
  5. Step 5: Solve for x
    x = 109,565,721,972.75/150,736.57
  6. Step 6: Final answer
    x = 726,868.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.