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Finding the Third Proportional to 122,415 and 267,294

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Solution

The third proportional to 122,415 and 267,294 is: 583,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415 : 267,294 = 267,294 : x
  2. Step 2: Convert to fraction form
    122,415/267,294 = 267,294/x
  3. Step 3: Cross multiply
    122,415x = 267,294 × 267,294
  4. Step 4: Simplify right side
    122,415x = 71,446,082,436
  5. Step 5: Solve for x
    x = 71,446,082,436/122,415
  6. Step 6: Final answer
    x = 583,638.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.