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Finding the Third Proportional to 182,284 and 267,269

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Solution

The third proportional to 182,284 and 267,269 is: 391,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,284 : 267,269 = 267,269 : x
  2. Step 2: Convert to fraction form
    182,284/267,269 = 267,269/x
  3. Step 3: Cross multiply
    182,284x = 267,269 × 267,269
  4. Step 4: Simplify right side
    182,284x = 71,432,718,361
  5. Step 5: Solve for x
    x = 71,432,718,361/182,284
  6. Step 6: Final answer
    x = 391,875.96

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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.