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Finding the Third Proportional to 126,452 and 272,508

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Solution

The third proportional to 126,452 and 272,508 is: 587,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,452 : 272,508 = 272,508 : x
  2. Step 2: Convert to fraction form
    126,452/272,508 = 272,508/x
  3. Step 3: Cross multiply
    126,452x = 272,508 × 272,508
  4. Step 4: Simplify right side
    126,452x = 74,260,610,064
  5. Step 5: Solve for x
    x = 74,260,610,064/126,452
  6. Step 6: Final answer
    x = 587,263.23

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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.