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Finding the Third Proportional to 168,444 and 368,538.75

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Solution

The third proportional to 168,444 and 368,538.75 is: 806,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,444 : 368,538.75 = 368,538.75 : x
  2. Step 2: Convert to fraction form
    168,444/368,538.75 = 368,538.75/x
  3. Step 3: Cross multiply
    168,444x = 368,538.75 × 368,538.75
  4. Step 4: Simplify right side
    168,444x = 135,820,810,251.56
  5. Step 5: Solve for x
    x = 135,820,810,251.56/168,444
  6. Step 6: Final answer
    x = 806,326.20

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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.