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Finding the Third Proportional to 267,942 and 363,873

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Solution

The third proportional to 267,942 and 363,873 is: 494,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,942 : 363,873 = 363,873 : x
  2. Step 2: Convert to fraction form
    267,942/363,873 = 363,873/x
  3. Step 3: Cross multiply
    267,942x = 363,873 × 363,873
  4. Step 4: Simplify right side
    267,942x = 132,403,560,129
  5. Step 5: Solve for x
    x = 132,403,560,129/267,942
  6. Step 6: Final answer
    x = 494,150.08

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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.