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Finding the Third Proportional to 116,472 and 273,792

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Solution

The third proportional to 116,472 and 273,792 is: 643,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,472 : 273,792 = 273,792 : x
  2. Step 2: Convert to fraction form
    116,472/273,792 = 273,792/x
  3. Step 3: Cross multiply
    116,472x = 273,792 × 273,792
  4. Step 4: Simplify right side
    116,472x = 74,962,059,264
  5. Step 5: Solve for x
    x = 74,962,059,264/116,472
  6. Step 6: Final answer
    x = 643,605.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.