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Finding the Third Proportional to 267,682 and 367,063

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Solution

The third proportional to 267,682 and 367,063 is: 503,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682 : 367,063 = 367,063 : x
  2. Step 2: Convert to fraction form
    267,682/367,063 = 367,063/x
  3. Step 3: Cross multiply
    267,682x = 367,063 × 367,063
  4. Step 4: Simplify right side
    267,682x = 134,735,245,969
  5. Step 5: Solve for x
    x = 134,735,245,969/267,682
  6. Step 6: Final answer
    x = 503,340.70

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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.