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Finding the Third Proportional to 123,942.38 and 267,563.25

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Solution

The third proportional to 123,942.38 and 267,563.25 is: 577,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,942.38 : 267,563.25 = 267,563.25 : x
  2. Step 2: Convert to fraction form
    123,942.38/267,563.25 = 267,563.25/x
  3. Step 3: Cross multiply
    123,942.38x = 267,563.25 × 267,563.25
  4. Step 4: Simplify right side
    123,942.38x = 71,590,092,750.56
  5. Step 5: Solve for x
    x = 71,590,092,750.56/123,942.38
  6. Step 6: Final answer
    x = 577,607.88

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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.