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Finding the Third Proportional to 267,367 and 363,207

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Solution

The third proportional to 267,367 and 363,207 is: 493,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,367 : 363,207 = 363,207 : x
  2. Step 2: Convert to fraction form
    267,367/363,207 = 363,207/x
  3. Step 3: Cross multiply
    267,367x = 363,207 × 363,207
  4. Step 4: Simplify right side
    267,367x = 131,919,324,849
  5. Step 5: Solve for x
    x = 131,919,324,849/267,367
  6. Step 6: Final answer
    x = 493,401.67

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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.