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Finding the Third Proportional to 267,682 and 367,061

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Solution

The third proportional to 267,682 and 367,061 is: 503,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682 : 367,061 = 367,061 : x
  2. Step 2: Convert to fraction form
    267,682/367,061 = 367,061/x
  3. Step 3: Cross multiply
    267,682x = 367,061 × 367,061
  4. Step 4: Simplify right side
    267,682x = 134,733,777,721
  5. Step 5: Solve for x
    x = 134,733,777,721/267,682
  6. Step 6: Final answer
    x = 503,335.22

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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.