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Finding the Third Proportional to 168,544.13 and 361,076.06

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Solution

The third proportional to 168,544.13 and 361,076.06 is: 773,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,544.13 : 361,076.06 = 361,076.06 : x
  2. Step 2: Convert to fraction form
    168,544.13/361,076.06 = 361,076.06/x
  3. Step 3: Cross multiply
    168,544.13x = 361,076.06 × 361,076.06
  4. Step 4: Simplify right side
    168,544.13x = 130,375,922,910.50
  5. Step 5: Solve for x
    x = 130,375,922,910.50/168,544.13
  6. Step 6: Final answer
    x = 773,541.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.