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Finding the Third Proportional to 168,591 and 361,169

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Solution

The third proportional to 168,591 and 361,169 is: 773,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,591 : 361,169 = 361,169 : x
  2. Step 2: Convert to fraction form
    168,591/361,169 = 361,169/x
  3. Step 3: Cross multiply
    168,591x = 361,169 × 361,169
  4. Step 4: Simplify right side
    168,591x = 130,443,046,561
  5. Step 5: Solve for x
    x = 130,443,046,561/168,591
  6. Step 6: Final answer
    x = 773,724.85

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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.