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Finding the Third Proportional to 199,971 and 281,245

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Solution

The third proportional to 199,971 and 281,245 is: 395,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971 : 281,245 = 281,245 : x
  2. Step 2: Convert to fraction form
    199,971/281,245 = 281,245/x
  3. Step 3: Cross multiply
    199,971x = 281,245 × 281,245
  4. Step 4: Simplify right side
    199,971x = 79,098,750,025
  5. Step 5: Solve for x
    x = 79,098,750,025/199,971
  6. Step 6: Final answer
    x = 395,551.11

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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.