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Finding the Third Proportional to 125,397 and 270,387

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Solution

The third proportional to 125,397 and 270,387 is: 583,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,397 : 270,387 = 270,387 : x
  2. Step 2: Convert to fraction form
    125,397/270,387 = 270,387/x
  3. Step 3: Cross multiply
    125,397x = 270,387 × 270,387
  4. Step 4: Simplify right side
    125,397x = 73,109,129,769
  5. Step 5: Solve for x
    x = 73,109,129,769/125,397
  6. Step 6: Final answer
    x = 583,021.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.