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Finding the Third Proportional to 168,580 and 361,149

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Solution

The third proportional to 168,580 and 361,149 is: 773,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,580 : 361,149 = 361,149 : x
  2. Step 2: Convert to fraction form
    168,580/361,149 = 361,149/x
  3. Step 3: Cross multiply
    168,580x = 361,149 × 361,149
  4. Step 4: Simplify right side
    168,580x = 130,428,600,201
  5. Step 5: Solve for x
    x = 130,428,600,201/168,580
  6. Step 6: Final answer
    x = 773,689.64

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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.