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Finding the Third Proportional to 123,342 and 267,420

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Solution

The third proportional to 123,342 and 267,420 is: 579,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,342 : 267,420 = 267,420 : x
  2. Step 2: Convert to fraction form
    123,342/267,420 = 267,420/x
  3. Step 3: Cross multiply
    123,342x = 267,420 × 267,420
  4. Step 4: Simplify right side
    123,342x = 71,513,456,400
  5. Step 5: Solve for x
    x = 71,513,456,400/123,342
  6. Step 6: Final answer
    x = 579,798.09

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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.