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Finding the Third Proportional to 166.75 and 255.88

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Solution

The third proportional to 166.75 and 255.88 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 255.88 = 255.88 : x
  2. Step 2: Convert to fraction form
    166.75/255.88 = 255.88/x
  3. Step 3: Cross multiply
    166.75x = 255.88 × 255.88
  4. Step 4: Simplify right side
    166.75x = 65,472.02
  5. Step 5: Solve for x
    x = 65,472.02/166.75
  6. Step 6: Final answer
    x = 392.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.