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Finding the Third Proportional to 131,034 and 272,436

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Solution

The third proportional to 131,034 and 272,436 is: 566,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,034 : 272,436 = 272,436 : x
  2. Step 2: Convert to fraction form
    131,034/272,436 = 272,436/x
  3. Step 3: Cross multiply
    131,034x = 272,436 × 272,436
  4. Step 4: Simplify right side
    131,034x = 74,221,374,096
  5. Step 5: Solve for x
    x = 74,221,374,096/131,034
  6. Step 6: Final answer
    x = 566,428.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.