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Finding the Third Proportional to 167.48 and 370.41

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Solution

The third proportional to 167.48 and 370.41 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 370.41 = 370.41 : x
  2. Step 2: Convert to fraction form
    167.48/370.41 = 370.41/x
  3. Step 3: Cross multiply
    167.48x = 370.41 × 370.41
  4. Step 4: Simplify right side
    167.48x = 137,200.79
  5. Step 5: Solve for x
    x = 137,200.79/167.48
  6. Step 6: Final answer
    x = 819.19

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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.