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Finding the Third Proportional to 169.75 and 371.94

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Solution

The third proportional to 169.75 and 371.94 is: 814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 371.94 = 371.94 : x
  2. Step 2: Convert to fraction form
    169.75/371.94 = 371.94/x
  3. Step 3: Cross multiply
    169.75x = 371.94 × 371.94
  4. Step 4: Simplify right side
    169.75x = 138,336.05
  5. Step 5: Solve for x
    x = 138,336.05/169.75
  6. Step 6: Final answer
    x = 814.93

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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.