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Finding the Third Proportional to 199,786.50 and 281,034

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Solution

The third proportional to 199,786.50 and 281,034 is: 395,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,786.50 : 281,034 = 281,034 : x
  2. Step 2: Convert to fraction form
    199,786.50/281,034 = 281,034/x
  3. Step 3: Cross multiply
    199,786.50x = 281,034 × 281,034
  4. Step 4: Simplify right side
    199,786.50x = 78,980,109,156
  5. Step 5: Solve for x
    x = 78,980,109,156/199,786.50
  6. Step 6: Final answer
    x = 395,322.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.