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Finding the Third Proportional to 166.75 and 244.25

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Solution

The third proportional to 166.75 and 244.25 is: 357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 244.25 = 244.25 : x
  2. Step 2: Convert to fraction form
    166.75/244.25 = 244.25/x
  3. Step 3: Cross multiply
    166.75x = 244.25 × 244.25
  4. Step 4: Simplify right side
    166.75x = 59,658.06
  5. Step 5: Solve for x
    x = 59,658.06/166.75
  6. Step 6: Final answer
    x = 357.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.