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Finding the Third Proportional to 168,419.25 and 368,489.25

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Solution

The third proportional to 168,419.25 and 368,489.25 is: 806,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,419.25 : 368,489.25 = 368,489.25 : x
  2. Step 2: Convert to fraction form
    168,419.25/368,489.25 = 368,489.25/x
  3. Step 3: Cross multiply
    168,419.25x = 368,489.25 × 368,489.25
  4. Step 4: Simplify right side
    168,419.25x = 135,784,327,365.56
  5. Step 5: Solve for x
    x = 135,784,327,365.56/168,419.25
  6. Step 6: Final answer
    x = 806,228.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.