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Finding the Third Proportional to 168,102 and 364,203

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Solution

The third proportional to 168,102 and 364,203 is: 789,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,102 : 364,203 = 364,203 : x
  2. Step 2: Convert to fraction form
    168,102/364,203 = 364,203/x
  3. Step 3: Cross multiply
    168,102x = 364,203 × 364,203
  4. Step 4: Simplify right side
    168,102x = 132,643,825,209
  5. Step 5: Solve for x
    x = 132,643,825,209/168,102
  6. Step 6: Final answer
    x = 789,067.50

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Why These Related Problems?

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