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Finding the Third Proportional to 267,694 and 367,081

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Solution

The third proportional to 267,694 and 367,081 is: 503,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694 : 367,081 = 367,081 : x
  2. Step 2: Convert to fraction form
    267,694/367,081 = 367,081/x
  3. Step 3: Cross multiply
    267,694x = 367,081 × 367,081
  4. Step 4: Simplify right side
    267,694x = 134,748,460,561
  5. Step 5: Solve for x
    x = 134,748,460,561/267,694
  6. Step 6: Final answer
    x = 503,367.50

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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.