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Finding the Third Proportional to 126,266.25 and 272,562.38

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Solution

The third proportional to 126,266.25 and 272,562.38 is: 588,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,266.25 : 272,562.38 = 272,562.38 : x
  2. Step 2: Convert to fraction form
    126,266.25/272,562.38 = 272,562.38/x
  3. Step 3: Cross multiply
    126,266.25x = 272,562.38 × 272,562.38
  4. Step 4: Simplify right side
    126,266.25x = 74,290,248,265.64
  5. Step 5: Solve for x
    x = 74,290,248,265.64/126,266.25
  6. Step 6: Final answer
    x = 588,361.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.