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Finding the Third Proportional to 81.75 and 176.38

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Solution

The third proportional to 81.75 and 176.38 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 176.38 = 176.38 : x
  2. Step 2: Convert to fraction form
    81.75/176.38 = 176.38/x
  3. Step 3: Cross multiply
    81.75x = 176.38 × 176.38
  4. Step 4: Simplify right side
    81.75x = 31,108.14
  5. Step 5: Solve for x
    x = 31,108.14/81.75
  6. Step 6: Final answer
    x = 380.53

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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.