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Finding the Third Proportional to 77.06 and 180.84

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Solution

The third proportional to 77.06 and 180.84 is: 424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 180.84 = 180.84 : x
  2. Step 2: Convert to fraction form
    77.06/180.84 = 180.84/x
  3. Step 3: Cross multiply
    77.06x = 180.84 × 180.84
  4. Step 4: Simplify right side
    77.06x = 32,704.46
  5. Step 5: Solve for x
    x = 32,704.46/77.06
  6. Step 6: Final answer
    x = 424.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.