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Finding the Third Proportional to 121.75 and 200.38

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Solution

The third proportional to 121.75 and 200.38 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 200.38 = 200.38 : x
  2. Step 2: Convert to fraction form
    121.75/200.38 = 200.38/x
  3. Step 3: Cross multiply
    121.75x = 200.38 × 200.38
  4. Step 4: Simplify right side
    121.75x = 40,150.14
  5. Step 5: Solve for x
    x = 40,150.14/121.75
  6. Step 6: Final answer
    x = 329.78

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.