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Finding the Third Proportional to 79.97 and 174.42

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Solution

The third proportional to 79.97 and 174.42 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.97 : 174.42 = 174.42 : x
  2. Step 2: Convert to fraction form
    79.97/174.42 = 174.42/x
  3. Step 3: Cross multiply
    79.97x = 174.42 × 174.42
  4. Step 4: Simplify right side
    79.97x = 30,421.97
  5. Step 5: Solve for x
    x = 30,421.97/79.97
  6. Step 6: Final answer
    x = 380.41

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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.