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Finding the Third Proportional to 171.75 and 381.88

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Solution

The third proportional to 171.75 and 381.88 is: 849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.75 : 381.88 = 381.88 : x
  2. Step 2: Convert to fraction form
    171.75/381.88 = 381.88/x
  3. Step 3: Cross multiply
    171.75x = 381.88 × 381.88
  4. Step 4: Simplify right side
    171.75x = 145,828.52
  5. Step 5: Solve for x
    x = 145,828.52/171.75
  6. Step 6: Final answer
    x = 849.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.