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Finding the Third Proportional to 122,336 and 267,984

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Solution

The third proportional to 122,336 and 267,984 is: 587,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,336 : 267,984 = 267,984 : x
  2. Step 2: Convert to fraction form
    122,336/267,984 = 267,984/x
  3. Step 3: Cross multiply
    122,336x = 267,984 × 267,984
  4. Step 4: Simplify right side
    122,336x = 71,815,424,256
  5. Step 5: Solve for x
    x = 71,815,424,256/122,336
  6. Step 6: Final answer
    x = 587,034.27

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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.