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Finding the Third Proportional to 247,338 and 372,087

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Solution

The third proportional to 247,338 and 372,087 is: 559,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,338 : 372,087 = 372,087 : x
  2. Step 2: Convert to fraction form
    247,338/372,087 = 372,087/x
  3. Step 3: Cross multiply
    247,338x = 372,087 × 372,087
  4. Step 4: Simplify right side
    247,338x = 138,448,735,569
  5. Step 5: Solve for x
    x = 138,448,735,569/247,338
  6. Step 6: Final answer
    x = 559,755.22

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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.