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Finding the Third Proportional to 123,376.50 and 267,893.25

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Solution

The third proportional to 123,376.50 and 267,893.25 is: 581,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,376.50 : 267,893.25 = 267,893.25 : x
  2. Step 2: Convert to fraction form
    123,376.50/267,893.25 = 267,893.25/x
  3. Step 3: Cross multiply
    123,376.50x = 267,893.25 × 267,893.25
  4. Step 4: Simplify right side
    123,376.50x = 71,766,793,395.56
  5. Step 5: Solve for x
    x = 71,766,793,395.56/123,376.50
  6. Step 6: Final answer
    x = 581,689.33

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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.