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Finding the Third Proportional to 267,659 and 363,334

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Solution

The third proportional to 267,659 and 363,334 is: 493,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,659 : 363,334 = 363,334 : x
  2. Step 2: Convert to fraction form
    267,659/363,334 = 363,334/x
  3. Step 3: Cross multiply
    267,659x = 363,334 × 363,334
  4. Step 4: Simplify right side
    267,659x = 132,011,595,556
  5. Step 5: Solve for x
    x = 132,011,595,556/267,659
  6. Step 6: Final answer
    x = 493,208.13

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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.