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Finding the Third Proportional to 84.88 and 185.99

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Solution

The third proportional to 84.88 and 185.99 is: 407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.88 : 185.99 = 185.99 : x
  2. Step 2: Convert to fraction form
    84.88/185.99 = 185.99/x
  3. Step 3: Cross multiply
    84.88x = 185.99 × 185.99
  4. Step 4: Simplify right side
    84.88x = 34,591.64
  5. Step 5: Solve for x
    x = 34,591.64/84.88
  6. Step 6: Final answer
    x = 407.54

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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.