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Finding the Third Proportional to 267,356 and 363,192

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Solution

The third proportional to 267,356 and 363,192 is: 493,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,356 : 363,192 = 363,192 : x
  2. Step 2: Convert to fraction form
    267,356/363,192 = 363,192/x
  3. Step 3: Cross multiply
    267,356x = 363,192 × 363,192
  4. Step 4: Simplify right side
    267,356x = 131,908,428,864
  5. Step 5: Solve for x
    x = 131,908,428,864/267,356
  6. Step 6: Final answer
    x = 493,381.22

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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.