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Finding the Third Proportional to 267,816 and 367,234

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Solution

The third proportional to 267,816 and 367,234 is: 503,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816 : 367,234 = 367,234 : x
  2. Step 2: Convert to fraction form
    267,816/367,234 = 367,234/x
  3. Step 3: Cross multiply
    267,816x = 367,234 × 367,234
  4. Step 4: Simplify right side
    267,816x = 134,860,810,756
  5. Step 5: Solve for x
    x = 134,860,810,756/267,816
  6. Step 6: Final answer
    x = 503,557.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.