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Finding the Third Proportional to 167.63 and 371.25

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Solution

The third proportional to 167.63 and 371.25 is: 822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.63 : 371.25 = 371.25 : x
  2. Step 2: Convert to fraction form
    167.63/371.25 = 371.25/x
  3. Step 3: Cross multiply
    167.63x = 371.25 × 371.25
  4. Step 4: Simplify right side
    167.63x = 137,826.56
  5. Step 5: Solve for x
    x = 137,826.56/167.63
  6. Step 6: Final answer
    x = 822.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.