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Finding the Third Proportional to 168,870 and 258,921

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Solution

The third proportional to 168,870 and 258,921 is: 396,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,870 : 258,921 = 258,921 : x
  2. Step 2: Convert to fraction form
    168,870/258,921 = 258,921/x
  3. Step 3: Cross multiply
    168,870x = 258,921 × 258,921
  4. Step 4: Simplify right side
    168,870x = 67,040,084,241
  5. Step 5: Solve for x
    x = 67,040,084,241/168,870
  6. Step 6: Final answer
    x = 396,992.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.