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Finding the Third Proportional to 131,904 and 311,067

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Solution

The third proportional to 131,904 and 311,067 is: 733,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904 : 311,067 = 311,067 : x
  2. Step 2: Convert to fraction form
    131,904/311,067 = 311,067/x
  3. Step 3: Cross multiply
    131,904x = 311,067 × 311,067
  4. Step 4: Simplify right side
    131,904x = 96,762,678,489
  5. Step 5: Solve for x
    x = 96,762,678,489/131,904
  6. Step 6: Final answer
    x = 733,584.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.