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Finding the Third Proportional to 267,914 and 363,848

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Solution

The third proportional to 267,914 and 363,848 is: 494,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,914 : 363,848 = 363,848 : x
  2. Step 2: Convert to fraction form
    267,914/363,848 = 363,848/x
  3. Step 3: Cross multiply
    267,914x = 363,848 × 363,848
  4. Step 4: Simplify right side
    267,914x = 132,385,367,104
  5. Step 5: Solve for x
    x = 132,385,367,104/267,914
  6. Step 6: Final answer
    x = 494,133.82

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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.