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Finding the Third Proportional to 166.25 and 340.75

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Solution

The third proportional to 166.25 and 340.75 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 340.75 = 340.75 : x
  2. Step 2: Convert to fraction form
    166.25/340.75 = 340.75/x
  3. Step 3: Cross multiply
    166.25x = 340.75 × 340.75
  4. Step 4: Simplify right side
    166.25x = 116,110.56
  5. Step 5: Solve for x
    x = 116,110.56/166.25
  6. Step 6: Final answer
    x = 698.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.