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Finding the Third Proportional to 182,287 and 267,273

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Solution

The third proportional to 182,287 and 267,273 is: 391,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,287 : 267,273 = 267,273 : x
  2. Step 2: Convert to fraction form
    182,287/267,273 = 267,273/x
  3. Step 3: Cross multiply
    182,287x = 267,273 × 267,273
  4. Step 4: Simplify right side
    182,287x = 71,434,856,529
  5. Step 5: Solve for x
    x = 71,434,856,529/182,287
  6. Step 6: Final answer
    x = 391,881.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.