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Finding the Third Proportional to 166.59 and 355.96

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Solution

The third proportional to 166.59 and 355.96 is: 760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 355.96 = 355.96 : x
  2. Step 2: Convert to fraction form
    166.59/355.96 = 355.96/x
  3. Step 3: Cross multiply
    166.59x = 355.96 × 355.96
  4. Step 4: Simplify right side
    166.59x = 126,705.41
  5. Step 5: Solve for x
    x = 126,705.41/166.59
  6. Step 6: Final answer
    x = 760.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.