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Finding the Third Proportional to 166,934 and 258,825

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Solution

The third proportional to 166,934 and 258,825 is: 401,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,934 : 258,825 = 258,825 : x
  2. Step 2: Convert to fraction form
    166,934/258,825 = 258,825/x
  3. Step 3: Cross multiply
    166,934x = 258,825 × 258,825
  4. Step 4: Simplify right side
    166,934x = 66,990,380,625
  5. Step 5: Solve for x
    x = 66,990,380,625/166,934
  6. Step 6: Final answer
    x = 401,298.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.