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Finding the Third Proportional to 80.48 and 175.79

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Solution

The third proportional to 80.48 and 175.79 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.48 : 175.79 = 175.79 : x
  2. Step 2: Convert to fraction form
    80.48/175.79 = 175.79/x
  3. Step 3: Cross multiply
    80.48x = 175.79 × 175.79
  4. Step 4: Simplify right side
    80.48x = 30,901.79
  5. Step 5: Solve for x
    x = 30,901.79/80.48
  6. Step 6: Final answer
    x = 383.99

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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.