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Finding the Third Proportional to 80.63 and 173.81

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Solution

The third proportional to 80.63 and 173.81 is: 374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.63 : 173.81 = 173.81 : x
  2. Step 2: Convert to fraction form
    80.63/173.81 = 173.81/x
  3. Step 3: Cross multiply
    80.63x = 173.81 × 173.81
  4. Step 4: Simplify right side
    80.63x = 30,210.79
  5. Step 5: Solve for x
    x = 30,210.79/80.63
  6. Step 6: Final answer
    x = 374.71

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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.