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Finding the Third Proportional to 168,546.38 and 361,081.13

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Solution

The third proportional to 168,546.38 and 361,081.13 is: 773,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546.38 : 361,081.13 = 361,081.13 : x
  2. Step 2: Convert to fraction form
    168,546.38/361,081.13 = 361,081.13/x
  3. Step 3: Cross multiply
    168,546.38x = 361,081.13 × 361,081.13
  4. Step 4: Simplify right side
    168,546.38x = 130,379,578,831.27
  5. Step 5: Solve for x
    x = 130,379,578,831.27/168,546.38
  6. Step 6: Final answer
    x = 773,553.15

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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.