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Finding the Third Proportional to 123,341 and 267,418

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Solution

The third proportional to 123,341 and 267,418 is: 579,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,341 : 267,418 = 267,418 : x
  2. Step 2: Convert to fraction form
    123,341/267,418 = 267,418/x
  3. Step 3: Cross multiply
    123,341x = 267,418 × 267,418
  4. Step 4: Simplify right side
    123,341x = 71,512,386,724
  5. Step 5: Solve for x
    x = 71,512,386,724/123,341
  6. Step 6: Final answer
    x = 579,794.12

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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.