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Finding the Third Proportional to 198,738 and 300,675

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Solution

The third proportional to 198,738 and 300,675 is: 454,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,738 : 300,675 = 300,675 : x
  2. Step 2: Convert to fraction form
    198,738/300,675 = 300,675/x
  3. Step 3: Cross multiply
    198,738x = 300,675 × 300,675
  4. Step 4: Simplify right side
    198,738x = 90,405,455,625
  5. Step 5: Solve for x
    x = 90,405,455,625/198,738
  6. Step 6: Final answer
    x = 454,897.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.