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Finding the Third Proportional to 267,944 and 363,876

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Solution

The third proportional to 267,944 and 363,876 is: 494,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,944 : 363,876 = 363,876 : x
  2. Step 2: Convert to fraction form
    267,944/363,876 = 363,876/x
  3. Step 3: Cross multiply
    267,944x = 363,876 × 363,876
  4. Step 4: Simplify right side
    267,944x = 132,405,743,376
  5. Step 5: Solve for x
    x = 132,405,743,376/267,944
  6. Step 6: Final answer
    x = 494,154.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.