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Finding the Third Proportional to 177.38 and 381.75

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Solution

The third proportional to 177.38 and 381.75 is: 821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 381.75 = 381.75 : x
  2. Step 2: Convert to fraction form
    177.38/381.75 = 381.75/x
  3. Step 3: Cross multiply
    177.38x = 381.75 × 381.75
  4. Step 4: Simplify right side
    177.38x = 145,733.06
  5. Step 5: Solve for x
    x = 145,733.06/177.38
  6. Step 6: Final answer
    x = 821.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.