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Finding the Third Proportional to 81.69 and 177.78

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Solution

The third proportional to 81.69 and 177.78 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.69 : 177.78 = 177.78 : x
  2. Step 2: Convert to fraction form
    81.69/177.78 = 177.78/x
  3. Step 3: Cross multiply
    81.69x = 177.78 × 177.78
  4. Step 4: Simplify right side
    81.69x = 31,606.17
  5. Step 5: Solve for x
    x = 31,606.17/81.69
  6. Step 6: Final answer
    x = 386.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.