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Finding the Third Proportional to 174,540 and 372,408

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Solution

The third proportional to 174,540 and 372,408 is: 794,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,540 : 372,408 = 372,408 : x
  2. Step 2: Convert to fraction form
    174,540/372,408 = 372,408/x
  3. Step 3: Cross multiply
    174,540x = 372,408 × 372,408
  4. Step 4: Simplify right side
    174,540x = 138,687,718,464
  5. Step 5: Solve for x
    x = 138,687,718,464/174,540
  6. Step 6: Final answer
    x = 794,589.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.