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Finding the Third Proportional to 78.19 and 161.86

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Solution

The third proportional to 78.19 and 161.86 is: 335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.19 : 161.86 = 161.86 : x
  2. Step 2: Convert to fraction form
    78.19/161.86 = 161.86/x
  3. Step 3: Cross multiply
    78.19x = 161.86 × 161.86
  4. Step 4: Simplify right side
    78.19x = 26,198.46
  5. Step 5: Solve for x
    x = 26,198.46/78.19
  6. Step 6: Final answer
    x = 335.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.