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Finding the Third Proportional to 267,365 and 363,204

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Solution

The third proportional to 267,365 and 363,204 is: 493,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,365 : 363,204 = 363,204 : x
  2. Step 2: Convert to fraction form
    267,365/363,204 = 363,204/x
  3. Step 3: Cross multiply
    267,365x = 363,204 × 363,204
  4. Step 4: Simplify right side
    267,365x = 131,917,145,616
  5. Step 5: Solve for x
    x = 131,917,145,616/267,365
  6. Step 6: Final answer
    x = 493,397.21

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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.