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Finding the Third Proportional to 81.47 and 176.53

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Solution

The third proportional to 81.47 and 176.53 is: 382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.47 : 176.53 = 176.53 : x
  2. Step 2: Convert to fraction form
    81.47/176.53 = 176.53/x
  3. Step 3: Cross multiply
    81.47x = 176.53 × 176.53
  4. Step 4: Simplify right side
    81.47x = 31,163.28
  5. Step 5: Solve for x
    x = 31,163.28/81.47
  6. Step 6: Final answer
    x = 382.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.