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Finding the Third Proportional to 193,198.50 and 281,026.13

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Solution

The third proportional to 193,198.50 and 281,026.13 is: 408,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,198.50 : 281,026.13 = 281,026.13 : x
  2. Step 2: Convert to fraction form
    193,198.50/281,026.13 = 281,026.13/x
  3. Step 3: Cross multiply
    193,198.50x = 281,026.13 × 281,026.13
  4. Step 4: Simplify right side
    193,198.50x = 78,975,682,932.52
  5. Step 5: Solve for x
    x = 78,975,682,932.52/193,198.50
  6. Step 6: Final answer
    x = 408,780.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.