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Finding the Third Proportional to 76,378 and 167,802

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Solution

The third proportional to 76,378 and 167,802 is: 368,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378 : 167,802 = 167,802 : x
  2. Step 2: Convert to fraction form
    76,378/167,802 = 167,802/x
  3. Step 3: Cross multiply
    76,378x = 167,802 × 167,802
  4. Step 4: Simplify right side
    76,378x = 28,157,511,204
  5. Step 5: Solve for x
    x = 28,157,511,204/76,378
  6. Step 6: Final answer
    x = 368,659.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.