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Finding the Third Proportional to 267,702 and 367,093

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Solution

The third proportional to 267,702 and 367,093 is: 503,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,702 : 367,093 = 367,093 : x
  2. Step 2: Convert to fraction form
    267,702/367,093 = 367,093/x
  3. Step 3: Cross multiply
    267,702x = 367,093 × 367,093
  4. Step 4: Simplify right side
    267,702x = 134,757,270,649
  5. Step 5: Solve for x
    x = 134,757,270,649/267,702
  6. Step 6: Final answer
    x = 503,385.37

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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.