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Finding the Third Proportional to 177.19 and 381.38

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Solution

The third proportional to 177.19 and 381.38 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 381.38 = 381.38 : x
  2. Step 2: Convert to fraction form
    177.19/381.38 = 381.38/x
  3. Step 3: Cross multiply
    177.19x = 381.38 × 381.38
  4. Step 4: Simplify right side
    177.19x = 145,446.89
  5. Step 5: Solve for x
    x = 145,446.89/177.19
  6. Step 6: Final answer
    x = 820.86

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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.