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Finding the Third Proportional to 181,472 and 261,792

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Solution

The third proportional to 181,472 and 261,792 is: 377,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,472 : 261,792 = 261,792 : x
  2. Step 2: Convert to fraction form
    181,472/261,792 = 261,792/x
  3. Step 3: Cross multiply
    181,472x = 261,792 × 261,792
  4. Step 4: Simplify right side
    181,472x = 68,535,051,264
  5. Step 5: Solve for x
    x = 68,535,051,264/181,472
  6. Step 6: Final answer
    x = 377,661.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.