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Finding the Third Proportional to 168,203 and 198,923

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Solution

The third proportional to 168,203 and 198,923 is: 235,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,203 : 198,923 = 198,923 : x
  2. Step 2: Convert to fraction form
    168,203/198,923 = 198,923/x
  3. Step 3: Cross multiply
    168,203x = 198,923 × 198,923
  4. Step 4: Simplify right side
    168,203x = 39,570,359,929
  5. Step 5: Solve for x
    x = 39,570,359,929/168,203
  6. Step 6: Final answer
    x = 235,253.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.