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Finding the Third Proportional to 198,425 and 298,083

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Solution

The third proportional to 198,425 and 298,083 is: 447,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,425 : 298,083 = 298,083 : x
  2. Step 2: Convert to fraction form
    198,425/298,083 = 298,083/x
  3. Step 3: Cross multiply
    198,425x = 298,083 × 298,083
  4. Step 4: Simplify right side
    198,425x = 88,853,474,889
  5. Step 5: Solve for x
    x = 88,853,474,889/198,425
  6. Step 6: Final answer
    x = 447,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.