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Finding the Third Proportional to 75.66 and 166.22

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Solution

The third proportional to 75.66 and 166.22 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 166.22 = 166.22 : x
  2. Step 2: Convert to fraction form
    75.66/166.22 = 166.22/x
  3. Step 3: Cross multiply
    75.66x = 166.22 × 166.22
  4. Step 4: Simplify right side
    75.66x = 27,628.67
  5. Step 5: Solve for x
    x = 27,628.67/75.66
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.