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Finding the Third Proportional to 181,566 and 239,737.50

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Solution

The third proportional to 181,566 and 239,737.50 is: 316,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566 : 239,737.50 = 239,737.50 : x
  2. Step 2: Convert to fraction form
    181,566/239,737.50 = 239,737.50/x
  3. Step 3: Cross multiply
    181,566x = 239,737.50 × 239,737.50
  4. Step 4: Simplify right side
    181,566x = 57,474,068,906.25
  5. Step 5: Solve for x
    x = 57,474,068,906.25/181,566
  6. Step 6: Final answer
    x = 316,546.43

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.