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Finding the Third Proportional to 169.46 and 371.36

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Solution

The third proportional to 169.46 and 371.36 is: 813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 371.36 = 371.36 : x
  2. Step 2: Convert to fraction form
    169.46/371.36 = 371.36/x
  3. Step 3: Cross multiply
    169.46x = 371.36 × 371.36
  4. Step 4: Simplify right side
    169.46x = 137,904.88
  5. Step 5: Solve for x
    x = 137,904.88/169.46
  6. Step 6: Final answer
    x = 813.77

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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.