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Finding the Third Proportional to 168,649 and 361,206

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Solution

The third proportional to 168,649 and 361,206 is: 773,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,649 : 361,206 = 361,206 : x
  2. Step 2: Convert to fraction form
    168,649/361,206 = 361,206/x
  3. Step 3: Cross multiply
    168,649x = 361,206 × 361,206
  4. Step 4: Simplify right side
    168,649x = 130,469,774,436
  5. Step 5: Solve for x
    x = 130,469,774,436/168,649
  6. Step 6: Final answer
    x = 773,617.24

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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.