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Finding the Third Proportional to 168,451.31 and 368,019.56

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Solution

The third proportional to 168,451.31 and 368,019.56 is: 804,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,451.31 : 368,019.56 = 368,019.56 : x
  2. Step 2: Convert to fraction form
    168,451.31/368,019.56 = 368,019.56/x
  3. Step 3: Cross multiply
    168,451.31x = 368,019.56 × 368,019.56
  4. Step 4: Simplify right side
    168,451.31x = 135,438,398,382.69
  5. Step 5: Solve for x
    x = 135,438,398,382.69/168,451.31
  6. Step 6: Final answer
    x = 804,021.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.