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Finding the Third Proportional to 77.84 and 186.05

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Solution

The third proportional to 77.84 and 186.05 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 186.05 = 186.05 : x
  2. Step 2: Convert to fraction form
    77.84/186.05 = 186.05/x
  3. Step 3: Cross multiply
    77.84x = 186.05 × 186.05
  4. Step 4: Simplify right side
    77.84x = 34,613.44
  5. Step 5: Solve for x
    x = 34,613.44/77.84
  6. Step 6: Final answer
    x = 444.70

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.