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Finding the Third Proportional to 168,093.59 and 361,098.47

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Solution

The third proportional to 168,093.59 and 361,098.47 is: 775,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,093.59 : 361,098.47 = 361,098.47 : x
  2. Step 2: Convert to fraction form
    168,093.59/361,098.47 = 361,098.47/x
  3. Step 3: Cross multiply
    168,093.59x = 361,098.47 × 361,098.47
  4. Step 4: Simplify right side
    168,093.59x = 130,392,108,365.22
  5. Step 5: Solve for x
    x = 130,392,108,365.22/168,093.59
  6. Step 6: Final answer
    x = 775,711.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.