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Finding the Third Proportional to 198,733 and 297,343

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Solution

The third proportional to 198,733 and 297,343 is: 444,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,733 : 297,343 = 297,343 : x
  2. Step 2: Convert to fraction form
    198,733/297,343 = 297,343/x
  3. Step 3: Cross multiply
    198,733x = 297,343 × 297,343
  4. Step 4: Simplify right side
    198,733x = 88,412,859,649
  5. Step 5: Solve for x
    x = 88,412,859,649/198,733
  6. Step 6: Final answer
    x = 444,882.63

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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.