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Finding the Third Proportional to 193.69 and 281.44

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Solution

The third proportional to 193.69 and 281.44 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 281.44 = 281.44 : x
  2. Step 2: Convert to fraction form
    193.69/281.44 = 281.44/x
  3. Step 3: Cross multiply
    193.69x = 281.44 × 281.44
  4. Step 4: Simplify right side
    193.69x = 79,207.07
  5. Step 5: Solve for x
    x = 79,207.07/193.69
  6. Step 6: Final answer
    x = 408.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.