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Finding the Third Proportional to 87.68 and 180.56

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Solution

The third proportional to 87.68 and 180.56 is: 371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.68 : 180.56 = 180.56 : x
  2. Step 2: Convert to fraction form
    87.68/180.56 = 180.56/x
  3. Step 3: Cross multiply
    87.68x = 180.56 × 180.56
  4. Step 4: Simplify right side
    87.68x = 32,602.82
  5. Step 5: Solve for x
    x = 32,602.82/87.68
  6. Step 6: Final answer
    x = 371.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.