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Finding the Third Proportional to 168,636 and 361,181

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Solution

The third proportional to 168,636 and 361,181 is: 773,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,636 : 361,181 = 361,181 : x
  2. Step 2: Convert to fraction form
    168,636/361,181 = 361,181/x
  3. Step 3: Cross multiply
    168,636x = 361,181 × 361,181
  4. Step 4: Simplify right side
    168,636x = 130,451,714,761
  5. Step 5: Solve for x
    x = 130,451,714,761/168,636
  6. Step 6: Final answer
    x = 773,569.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.