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Finding the Third Proportional to 80.44 and 173.41

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Solution

The third proportional to 80.44 and 173.41 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 173.41 = 173.41 : x
  2. Step 2: Convert to fraction form
    80.44/173.41 = 173.41/x
  3. Step 3: Cross multiply
    80.44x = 173.41 × 173.41
  4. Step 4: Simplify right side
    80.44x = 30,069.73
  5. Step 5: Solve for x
    x = 30,069.73/80.44
  6. Step 6: Final answer
    x = 373.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.