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Finding the Third Proportional to 122,296 and 267,956

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Solution

The third proportional to 122,296 and 267,956 is: 587,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,296 : 267,956 = 267,956 : x
  2. Step 2: Convert to fraction form
    122,296/267,956 = 267,956/x
  3. Step 3: Cross multiply
    122,296x = 267,956 × 267,956
  4. Step 4: Simplify right side
    122,296x = 71,800,417,936
  5. Step 5: Solve for x
    x = 71,800,417,936/122,296
  6. Step 6: Final answer
    x = 587,103.57

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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.