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Finding the Third Proportional to 166.59 and 365.21

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Solution

The third proportional to 166.59 and 365.21 is: 800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 365.21 = 365.21 : x
  2. Step 2: Convert to fraction form
    166.59/365.21 = 365.21/x
  3. Step 3: Cross multiply
    166.59x = 365.21 × 365.21
  4. Step 4: Simplify right side
    166.59x = 133,379.74
  5. Step 5: Solve for x
    x = 133,379.74/166.59
  6. Step 6: Final answer
    x = 800.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.