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Finding the Third Proportional to 267,907 and 363,853

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Solution

The third proportional to 267,907 and 363,853 is: 494,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,907 : 363,853 = 363,853 : x
  2. Step 2: Convert to fraction form
    267,907/363,853 = 363,853/x
  3. Step 3: Cross multiply
    267,907x = 363,853 × 363,853
  4. Step 4: Simplify right side
    267,907x = 132,389,005,609
  5. Step 5: Solve for x
    x = 132,389,005,609/267,907
  6. Step 6: Final answer
    x = 494,160.31

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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.