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Finding the Third Proportional to 168,099.75 and 364,205.25

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Solution

The third proportional to 168,099.75 and 364,205.25 is: 789,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,099.75 : 364,205.25 = 364,205.25 : x
  2. Step 2: Convert to fraction form
    168,099.75/364,205.25 = 364,205.25/x
  3. Step 3: Cross multiply
    168,099.75x = 364,205.25 × 364,205.25
  4. Step 4: Simplify right side
    168,099.75x = 132,645,464,127.56
  5. Step 5: Solve for x
    x = 132,645,464,127.56/168,099.75
  6. Step 6: Final answer
    x = 789,087.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.