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Finding the Third Proportional to 150,735 and 327,687

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Solution

The third proportional to 150,735 and 327,687 is: 712,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,735 : 327,687 = 327,687 : x
  2. Step 2: Convert to fraction form
    150,735/327,687 = 327,687/x
  3. Step 3: Cross multiply
    150,735x = 327,687 × 327,687
  4. Step 4: Simplify right side
    150,735x = 107,378,769,969
  5. Step 5: Solve for x
    x = 107,378,769,969/150,735
  6. Step 6: Final answer
    x = 712,367.86

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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.