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Finding the Third Proportional to 122,855 and 267,944

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Solution

The third proportional to 122,855 and 267,944 is: 584,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,855 : 267,944 = 267,944 : x
  2. Step 2: Convert to fraction form
    122,855/267,944 = 267,944/x
  3. Step 3: Cross multiply
    122,855x = 267,944 × 267,944
  4. Step 4: Simplify right side
    122,855x = 71,793,987,136
  5. Step 5: Solve for x
    x = 71,793,987,136/122,855
  6. Step 6: Final answer
    x = 584,379.86

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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.