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Finding the Third Proportional to 168,711 and 366,948

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Solution

The third proportional to 168,711 and 366,948 is: 798,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,711 : 366,948 = 366,948 : x
  2. Step 2: Convert to fraction form
    168,711/366,948 = 366,948/x
  3. Step 3: Cross multiply
    168,711x = 366,948 × 366,948
  4. Step 4: Simplify right side
    168,711x = 134,650,834,704
  5. Step 5: Solve for x
    x = 134,650,834,704/168,711
  6. Step 6: Final answer
    x = 798,115.33

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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.