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Finding the Third Proportional to 80.44 and 172.69

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Solution

The third proportional to 80.44 and 172.69 is: 370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 172.69 = 172.69 : x
  2. Step 2: Convert to fraction form
    80.44/172.69 = 172.69/x
  3. Step 3: Cross multiply
    80.44x = 172.69 × 172.69
  4. Step 4: Simplify right side
    80.44x = 29,820.97
  5. Step 5: Solve for x
    x = 29,820.97/80.44
  6. Step 6: Final answer
    x = 370.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.