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Finding the Third Proportional to 199,818 and 281,418.75

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Solution

The third proportional to 199,818 and 281,418.75 is: 396,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818 : 281,418.75 = 281,418.75 : x
  2. Step 2: Convert to fraction form
    199,818/281,418.75 = 281,418.75/x
  3. Step 3: Cross multiply
    199,818x = 281,418.75 × 281,418.75
  4. Step 4: Simplify right side
    199,818x = 79,196,512,851.56
  5. Step 5: Solve for x
    x = 79,196,512,851.56/199,818
  6. Step 6: Final answer
    x = 396,343.24

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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.