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Finding the Third Proportional to 199,798 and 281,052

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Solution

The third proportional to 199,798 and 281,052 is: 395,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,798 : 281,052 = 281,052 : x
  2. Step 2: Convert to fraction form
    199,798/281,052 = 281,052/x
  3. Step 3: Cross multiply
    199,798x = 281,052 × 281,052
  4. Step 4: Simplify right side
    199,798x = 78,990,226,704
  5. Step 5: Solve for x
    x = 78,990,226,704/199,798
  6. Step 6: Final answer
    x = 395,350.44

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Why These Related Problems?

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