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Finding the Third Proportional to 179,311 and 267,913

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Solution

The third proportional to 179,311 and 267,913 is: 400,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,311 : 267,913 = 267,913 : x
  2. Step 2: Convert to fraction form
    179,311/267,913 = 267,913/x
  3. Step 3: Cross multiply
    179,311x = 267,913 × 267,913
  4. Step 4: Simplify right side
    179,311x = 71,777,375,569
  5. Step 5: Solve for x
    x = 71,777,375,569/179,311
  6. Step 6: Final answer
    x = 400,295.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.