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Finding the Third Proportional to 198,952 and 281,242

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Solution

The third proportional to 198,952 and 281,242 is: 397,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952 : 281,242 = 281,242 : x
  2. Step 2: Convert to fraction form
    198,952/281,242 = 281,242/x
  3. Step 3: Cross multiply
    198,952x = 281,242 × 281,242
  4. Step 4: Simplify right side
    198,952x = 79,097,062,564
  5. Step 5: Solve for x
    x = 79,097,062,564/198,952
  6. Step 6: Final answer
    x = 397,568.57

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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.