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Finding the Third Proportional to 77.34 and 161.44

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Solution

The third proportional to 77.34 and 161.44 is: 336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 161.44 = 161.44 : x
  2. Step 2: Convert to fraction form
    77.34/161.44 = 161.44/x
  3. Step 3: Cross multiply
    77.34x = 161.44 × 161.44
  4. Step 4: Simplify right side
    77.34x = 26,062.07
  5. Step 5: Solve for x
    x = 26,062.07/77.34
  6. Step 6: Final answer
    x = 336.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.