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Finding the Third Proportional to 85.43 and 184.15

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Solution

The third proportional to 85.43 and 184.15 is: 396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 184.15 = 184.15 : x
  2. Step 2: Convert to fraction form
    85.43/184.15 = 184.15/x
  3. Step 3: Cross multiply
    85.43x = 184.15 × 184.15
  4. Step 4: Simplify right side
    85.43x = 33,910.65
  5. Step 5: Solve for x
    x = 33,910.65/85.43
  6. Step 6: Final answer
    x = 396.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.