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Finding the Third Proportional to 84.19 and 187.69

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Solution

The third proportional to 84.19 and 187.69 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 187.69 = 187.69 : x
  2. Step 2: Convert to fraction form
    84.19/187.69 = 187.69/x
  3. Step 3: Cross multiply
    84.19x = 187.69 × 187.69
  4. Step 4: Simplify right side
    84.19x = 35,226.60
  5. Step 5: Solve for x
    x = 35,226.60/84.19
  6. Step 6: Final answer
    x = 418.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.