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Finding the Third Proportional to 84.66 and 185.06

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Solution

The third proportional to 84.66 and 185.06 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 185.06 = 185.06 : x
  2. Step 2: Convert to fraction form
    84.66/185.06 = 185.06/x
  3. Step 3: Cross multiply
    84.66x = 185.06 × 185.06
  4. Step 4: Simplify right side
    84.66x = 34,248.13
  5. Step 5: Solve for x
    x = 34,248.13/84.66
  6. Step 6: Final answer
    x = 404.56

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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.