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Finding the Third Proportional to 123,382.13 and 267,905.25

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Solution

The third proportional to 123,382.13 and 267,905.25 is: 581,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,382.13 : 267,905.25 = 267,905.25 : x
  2. Step 2: Convert to fraction form
    123,382.13/267,905.25 = 267,905.25/x
  3. Step 3: Cross multiply
    123,382.13x = 267,905.25 × 267,905.25
  4. Step 4: Simplify right side
    123,382.13x = 71,773,222,977.56
  5. Step 5: Solve for x
    x = 71,773,222,977.56/123,382.13
  6. Step 6: Final answer
    x = 581,714.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.