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Finding the Third Proportional to 198,953 and 281,243.50

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Solution

The third proportional to 198,953 and 281,243.50 is: 397,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,953 : 281,243.50 = 281,243.50 : x
  2. Step 2: Convert to fraction form
    198,953/281,243.50 = 281,243.50/x
  3. Step 3: Cross multiply
    198,953x = 281,243.50 × 281,243.50
  4. Step 4: Simplify right side
    198,953x = 79,097,906,292.25
  5. Step 5: Solve for x
    x = 79,097,906,292.25/198,953
  6. Step 6: Final answer
    x = 397,570.81

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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.