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Finding the Third Proportional to 267,662.25 and 367,026.75

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Solution

The third proportional to 267,662.25 and 367,026.75 is: 503,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,662.25 : 367,026.75 = 367,026.75 : x
  2. Step 2: Convert to fraction form
    267,662.25/367,026.75 = 367,026.75/x
  3. Step 3: Cross multiply
    267,662.25x = 367,026.75 × 367,026.75
  4. Step 4: Simplify right side
    267,662.25x = 134,708,635,215.56
  5. Step 5: Solve for x
    x = 134,708,635,215.56/267,662.25
  6. Step 6: Final answer
    x = 503,278.42

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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.