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Finding the Third Proportional to 166.22 and 372.41

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Solution

The third proportional to 166.22 and 372.41 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.22 : 372.41 = 372.41 : x
  2. Step 2: Convert to fraction form
    166.22/372.41 = 372.41/x
  3. Step 3: Cross multiply
    166.22x = 372.41 × 372.41
  4. Step 4: Simplify right side
    166.22x = 138,689.32
  5. Step 5: Solve for x
    x = 138,689.32/166.22
  6. Step 6: Final answer
    x = 834.38

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.