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Finding the Third Proportional to 166.50 and 220

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Solution

The third proportional to 166.50 and 220 is: 290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 220 = 220 : x
  2. Step 2: Convert to fraction form
    166.50/220 = 220/x
  3. Step 3: Cross multiply
    166.50x = 220 × 220
  4. Step 4: Simplify right side
    166.50x = 48,400
  5. Step 5: Solve for x
    x = 48,400/166.50
  6. Step 6: Final answer
    x = 290.69

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.