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Finding the Third Proportional to 267,354 and 363,189

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Solution

The third proportional to 267,354 and 363,189 is: 493,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,354 : 363,189 = 363,189 : x
  2. Step 2: Convert to fraction form
    267,354/363,189 = 363,189/x
  3. Step 3: Cross multiply
    267,354x = 363,189 × 363,189
  4. Step 4: Simplify right side
    267,354x = 131,906,249,721
  5. Step 5: Solve for x
    x = 131,906,249,721/267,354
  6. Step 6: Final answer
    x = 493,376.76

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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.