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Finding the Third Proportional to 209.75 and 281.38

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Solution

The third proportional to 209.75 and 281.38 is: 377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 281.38 = 281.38 : x
  2. Step 2: Convert to fraction form
    209.75/281.38 = 281.38/x
  3. Step 3: Cross multiply
    209.75x = 281.38 × 281.38
  4. Step 4: Simplify right side
    209.75x = 79,171.89
  5. Step 5: Solve for x
    x = 79,171.89/209.75
  6. Step 6: Final answer
    x = 377.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.