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Finding the Third Proportional to 166.75 and 214.75

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Solution

The third proportional to 166.75 and 214.75 is: 276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 214.75 = 214.75 : x
  2. Step 2: Convert to fraction form
    166.75/214.75 = 214.75/x
  3. Step 3: Cross multiply
    166.75x = 214.75 × 214.75
  4. Step 4: Simplify right side
    166.75x = 46,117.56
  5. Step 5: Solve for x
    x = 46,117.56/166.75
  6. Step 6: Final answer
    x = 276.57

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.