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Finding the Third Proportional to 168,608 and 361,132

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Solution

The third proportional to 168,608 and 361,132 is: 773,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,608 : 361,132 = 361,132 : x
  2. Step 2: Convert to fraction form
    168,608/361,132 = 361,132/x
  3. Step 3: Cross multiply
    168,608x = 361,132 × 361,132
  4. Step 4: Simplify right side
    168,608x = 130,416,321,424
  5. Step 5: Solve for x
    x = 130,416,321,424/168,608
  6. Step 6: Final answer
    x = 773,488.34

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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.