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Finding the Third Proportional to 79.83 and 171.89

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Solution

The third proportional to 79.83 and 171.89 is: 370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.83 : 171.89 = 171.89 : x
  2. Step 2: Convert to fraction form
    79.83/171.89 = 171.89/x
  3. Step 3: Cross multiply
    79.83x = 171.89 × 171.89
  4. Step 4: Simplify right side
    79.83x = 29,546.23
  5. Step 5: Solve for x
    x = 29,546.23/79.83
  6. Step 6: Final answer
    x = 370.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.