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Finding the Third Proportional to 84.94 and 186.19

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Solution

The third proportional to 84.94 and 186.19 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.94 : 186.19 = 186.19 : x
  2. Step 2: Convert to fraction form
    84.94/186.19 = 186.19/x
  3. Step 3: Cross multiply
    84.94x = 186.19 × 186.19
  4. Step 4: Simplify right side
    84.94x = 34,665.79
  5. Step 5: Solve for x
    x = 34,665.79/84.94
  6. Step 6: Final answer
    x = 408.13

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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.