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Finding the Third Proportional to 80,768.50 and 165,567

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Solution

The third proportional to 80,768.50 and 165,567 is: 339,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,768.50 : 165,567 = 165,567 : x
  2. Step 2: Convert to fraction form
    80,768.50/165,567 = 165,567/x
  3. Step 3: Cross multiply
    80,768.50x = 165,567 × 165,567
  4. Step 4: Simplify right side
    80,768.50x = 27,412,431,489
  5. Step 5: Solve for x
    x = 27,412,431,489/80,768.50
  6. Step 6: Final answer
    x = 339,395.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.