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Finding the Third Proportional to 198,675 and 298,827

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Solution

The third proportional to 198,675 and 298,827 is: 449,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,675 : 298,827 = 298,827 : x
  2. Step 2: Convert to fraction form
    198,675/298,827 = 298,827/x
  3. Step 3: Cross multiply
    198,675x = 298,827 × 298,827
  4. Step 4: Simplify right side
    198,675x = 89,297,575,929
  5. Step 5: Solve for x
    x = 89,297,575,929/198,675
  6. Step 6: Final answer
    x = 449,465.59

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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.