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Finding the Third Proportional to 122,320 and 267,952

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Solution

The third proportional to 122,320 and 267,952 is: 586,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,320 : 267,952 = 267,952 : x
  2. Step 2: Convert to fraction form
    122,320/267,952 = 267,952/x
  3. Step 3: Cross multiply
    122,320x = 267,952 × 267,952
  4. Step 4: Simplify right side
    122,320x = 71,798,274,304
  5. Step 5: Solve for x
    x = 71,798,274,304/122,320
  6. Step 6: Final answer
    x = 586,970.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.