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Finding the Third Proportional to 166.19 and 350.38

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Solution

The third proportional to 166.19 and 350.38 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 350.38 = 350.38 : x
  2. Step 2: Convert to fraction form
    166.19/350.38 = 350.38/x
  3. Step 3: Cross multiply
    166.19x = 350.38 × 350.38
  4. Step 4: Simplify right side
    166.19x = 122,762.64
  5. Step 5: Solve for x
    x = 122,762.64/166.19
  6. Step 6: Final answer
    x = 738.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.