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Finding the Third Proportional to 80,667 and 175,326

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Solution

The third proportional to 80,667 and 175,326 is: 381,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,667 : 175,326 = 175,326 : x
  2. Step 2: Convert to fraction form
    80,667/175,326 = 175,326/x
  3. Step 3: Cross multiply
    80,667x = 175,326 × 175,326
  4. Step 4: Simplify right side
    80,667x = 30,739,206,276
  5. Step 5: Solve for x
    x = 30,739,206,276/80,667
  6. Step 6: Final answer
    x = 381,062.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.