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Finding the Third Proportional to 76,997 and 167,818

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Solution

The third proportional to 76,997 and 167,818 is: 365,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997 : 167,818 = 167,818 : x
  2. Step 2: Convert to fraction form
    76,997/167,818 = 167,818/x
  3. Step 3: Cross multiply
    76,997x = 167,818 × 167,818
  4. Step 4: Simplify right side
    76,997x = 28,162,881,124
  5. Step 5: Solve for x
    x = 28,162,881,124/76,997
  6. Step 6: Final answer
    x = 365,765.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.