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Finding the Third Proportional to 166.83 and 363.98

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Solution

The third proportional to 166.83 and 363.98 is: 794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 363.98 = 363.98 : x
  2. Step 2: Convert to fraction form
    166.83/363.98 = 363.98/x
  3. Step 3: Cross multiply
    166.83x = 363.98 × 363.98
  4. Step 4: Simplify right side
    166.83x = 132,484.63
  5. Step 5: Solve for x
    x = 132,484.63/166.83
  6. Step 6: Final answer
    x = 794.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.