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Finding the Third Proportional to 198,934 and 298,554

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Solution

The third proportional to 198,934 and 298,554 is: 448,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,934 : 298,554 = 298,554 : x
  2. Step 2: Convert to fraction form
    198,934/298,554 = 298,554/x
  3. Step 3: Cross multiply
    198,934x = 298,554 × 298,554
  4. Step 4: Simplify right side
    198,934x = 89,134,490,916
  5. Step 5: Solve for x
    x = 89,134,490,916/198,934
  6. Step 6: Final answer
    x = 448,060.62

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