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Finding the Third Proportional to 267,948 and 363,918

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Solution

The third proportional to 267,948 and 363,918 is: 494,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948 : 363,918 = 363,918 : x
  2. Step 2: Convert to fraction form
    267,948/363,918 = 363,918/x
  3. Step 3: Cross multiply
    267,948x = 363,918 × 363,918
  4. Step 4: Simplify right side
    267,948x = 132,436,310,724
  5. Step 5: Solve for x
    x = 132,436,310,724/267,948
  6. Step 6: Final answer
    x = 494,261.24

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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.