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Finding the Third Proportional to 79.88 and 181.97

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Solution

The third proportional to 79.88 and 181.97 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.88 : 181.97 = 181.97 : x
  2. Step 2: Convert to fraction form
    79.88/181.97 = 181.97/x
  3. Step 3: Cross multiply
    79.88x = 181.97 × 181.97
  4. Step 4: Simplify right side
    79.88x = 33,112.63
  5. Step 5: Solve for x
    x = 33,112.63/79.88
  6. Step 6: Final answer
    x = 414.56

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.