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Finding the Third Proportional to 247,292 and 372,098

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Solution

The third proportional to 247,292 and 372,098 is: 559,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,292 : 372,098 = 372,098 : x
  2. Step 2: Convert to fraction form
    247,292/372,098 = 372,098/x
  3. Step 3: Cross multiply
    247,292x = 372,098 × 372,098
  4. Step 4: Simplify right side
    247,292x = 138,456,921,604
  5. Step 5: Solve for x
    x = 138,456,921,604/247,292
  6. Step 6: Final answer
    x = 559,892.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.