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Finding the Third Proportional to 168,634 and 361,177

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Solution

The third proportional to 168,634 and 361,177 is: 773,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,634 : 361,177 = 361,177 : x
  2. Step 2: Convert to fraction form
    168,634/361,177 = 361,177/x
  3. Step 3: Cross multiply
    168,634x = 361,177 × 361,177
  4. Step 4: Simplify right side
    168,634x = 130,448,825,329
  5. Step 5: Solve for x
    x = 130,448,825,329/168,634
  6. Step 6: Final answer
    x = 773,561.83

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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.