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Finding the Third Proportional to 80.26 and 175.08

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Solution

The third proportional to 80.26 and 175.08 is: 381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 175.08 = 175.08 : x
  2. Step 2: Convert to fraction form
    80.26/175.08 = 175.08/x
  3. Step 3: Cross multiply
    80.26x = 175.08 × 175.08
  4. Step 4: Simplify right side
    80.26x = 30,652.35
  5. Step 5: Solve for x
    x = 30,652.35/80.26
  6. Step 6: Final answer
    x = 381.90

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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.