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Finding the Third Proportional to 126,652 and 274,387

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Solution

The third proportional to 126,652 and 274,387 is: 594,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,652 : 274,387 = 274,387 : x
  2. Step 2: Convert to fraction form
    126,652/274,387 = 274,387/x
  3. Step 3: Cross multiply
    126,652x = 274,387 × 274,387
  4. Step 4: Simplify right side
    126,652x = 75,288,225,769
  5. Step 5: Solve for x
    x = 75,288,225,769/126,652
  6. Step 6: Final answer
    x = 594,449.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.