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Finding the Third Proportional to 80.19 and 155.97

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Solution

The third proportional to 80.19 and 155.97 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.19 : 155.97 = 155.97 : x
  2. Step 2: Convert to fraction form
    80.19/155.97 = 155.97/x
  3. Step 3: Cross multiply
    80.19x = 155.97 × 155.97
  4. Step 4: Simplify right side
    80.19x = 24,326.25
  5. Step 5: Solve for x
    x = 24,326.25/80.19
  6. Step 6: Final answer
    x = 303.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.