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Finding the Third Proportional to 168,591 and 361,173

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Solution

The third proportional to 168,591 and 361,173 is: 773,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,591 : 361,173 = 361,173 : x
  2. Step 2: Convert to fraction form
    168,591/361,173 = 361,173/x
  3. Step 3: Cross multiply
    168,591x = 361,173 × 361,173
  4. Step 4: Simplify right side
    168,591x = 130,445,935,929
  5. Step 5: Solve for x
    x = 130,445,935,929/168,591
  6. Step 6: Final answer
    x = 773,741.99

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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.