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Finding the Third Proportional to 193.13 and 255.38

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Solution

The third proportional to 193.13 and 255.38 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 255.38 = 255.38 : x
  2. Step 2: Convert to fraction form
    193.13/255.38 = 255.38/x
  3. Step 3: Cross multiply
    193.13x = 255.38 × 255.38
  4. Step 4: Simplify right side
    193.13x = 65,216.39
  5. Step 5: Solve for x
    x = 65,216.39/193.13
  6. Step 6: Final answer
    x = 337.69

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.