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Finding the Third Proportional to 234,038 and 372,387

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Solution

The third proportional to 234,038 and 372,387 is: 592,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,038 : 372,387 = 372,387 : x
  2. Step 2: Convert to fraction form
    234,038/372,387 = 372,387/x
  3. Step 3: Cross multiply
    234,038x = 372,387 × 372,387
  4. Step 4: Simplify right side
    234,038x = 138,672,077,769
  5. Step 5: Solve for x
    x = 138,672,077,769/234,038
  6. Step 6: Final answer
    x = 592,519.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.