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Finding the Third Proportional to 126,352 and 272,386

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Solution

The third proportional to 126,352 and 272,386 is: 587,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,352 : 272,386 = 272,386 : x
  2. Step 2: Convert to fraction form
    126,352/272,386 = 272,386/x
  3. Step 3: Cross multiply
    126,352x = 272,386 × 272,386
  4. Step 4: Simplify right side
    126,352x = 74,194,132,996
  5. Step 5: Solve for x
    x = 74,194,132,996/126,352
  6. Step 6: Final answer
    x = 587,201.89

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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.