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Finding the Third Proportional to 247,142.25 and 539,391.38

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Solution

The third proportional to 247,142.25 and 539,391.38 is: 1,177,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,142.25 : 539,391.38 = 539,391.38 : x
  2. Step 2: Convert to fraction form
    247,142.25/539,391.38 = 539,391.38/x
  3. Step 3: Cross multiply
    247,142.25x = 539,391.38 × 539,391.38
  4. Step 4: Simplify right side
    247,142.25x = 290,943,055,424.39
  5. Step 5: Solve for x
    x = 290,943,055,424.39/247,142.25
  6. Step 6: Final answer
    x = 1,177,229.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.