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Finding the Third Proportional to 198,749 and 298,286

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Solution

The third proportional to 198,749 and 298,286 is: 447,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,749 : 298,286 = 298,286 : x
  2. Step 2: Convert to fraction form
    198,749/298,286 = 298,286/x
  3. Step 3: Cross multiply
    198,749x = 298,286 × 298,286
  4. Step 4: Simplify right side
    198,749x = 88,974,537,796
  5. Step 5: Solve for x
    x = 88,974,537,796/198,749
  6. Step 6: Final answer
    x = 447,672.88

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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.