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Finding the Third Proportional to 198,027 and 263,965.50

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Solution

The third proportional to 198,027 and 263,965.50 is: 351,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,027 : 263,965.50 = 263,965.50 : x
  2. Step 2: Convert to fraction form
    198,027/263,965.50 = 263,965.50/x
  3. Step 3: Cross multiply
    198,027x = 263,965.50 × 263,965.50
  4. Step 4: Simplify right side
    198,027x = 69,677,785,190.25
  5. Step 5: Solve for x
    x = 69,677,785,190.25/198,027
  6. Step 6: Final answer
    x = 351,860.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.