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Finding the Third Proportional to 174.09 and 381.94

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Solution

The third proportional to 174.09 and 381.94 is: 837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 381.94 = 381.94 : x
  2. Step 2: Convert to fraction form
    174.09/381.94 = 381.94/x
  3. Step 3: Cross multiply
    174.09x = 381.94 × 381.94
  4. Step 4: Simplify right side
    174.09x = 145,876.25
  5. Step 5: Solve for x
    x = 145,876.25/174.09
  6. Step 6: Final answer
    x = 837.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.