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Finding the Third Proportional to 77.06 and 168.84

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Solution

The third proportional to 77.06 and 168.84 is: 369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 168.84 = 168.84 : x
  2. Step 2: Convert to fraction form
    77.06/168.84 = 168.84/x
  3. Step 3: Cross multiply
    77.06x = 168.84 × 168.84
  4. Step 4: Simplify right side
    77.06x = 28,508.21
  5. Step 5: Solve for x
    x = 28,508.21/77.06
  6. Step 6: Final answer
    x = 369.94

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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.