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Finding the Third Proportional to 80.53 and 179.06

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Solution

The third proportional to 80.53 and 179.06 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 179.06 = 179.06 : x
  2. Step 2: Convert to fraction form
    80.53/179.06 = 179.06/x
  3. Step 3: Cross multiply
    80.53x = 179.06 × 179.06
  4. Step 4: Simplify right side
    80.53x = 32,063.38
  5. Step 5: Solve for x
    x = 32,063.38/80.53
  6. Step 6: Final answer
    x = 398.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.