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Finding the Third Proportional to 267,674 and 367,051

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Solution

The third proportional to 267,674 and 367,051 is: 503,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,674 : 367,051 = 367,051 : x
  2. Step 2: Convert to fraction form
    267,674/367,051 = 367,051/x
  3. Step 3: Cross multiply
    267,674x = 367,051 × 367,051
  4. Step 4: Simplify right side
    267,674x = 134,726,436,601
  5. Step 5: Solve for x
    x = 134,726,436,601/267,674
  6. Step 6: Final answer
    x = 503,322.84

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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.