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Finding the Third Proportional to 267,960 and 363,916

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Solution

The third proportional to 267,960 and 363,916 is: 494,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,960 : 363,916 = 363,916 : x
  2. Step 2: Convert to fraction form
    267,960/363,916 = 363,916/x
  3. Step 3: Cross multiply
    267,960x = 363,916 × 363,916
  4. Step 4: Simplify right side
    267,960x = 132,434,855,056
  5. Step 5: Solve for x
    x = 132,434,855,056/267,960
  6. Step 6: Final answer
    x = 494,233.67

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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.