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Finding the Third Proportional to 198,094 and 306,866

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Solution

The third proportional to 198,094 and 306,866 is: 475,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,094 : 306,866 = 306,866 : x
  2. Step 2: Convert to fraction form
    198,094/306,866 = 306,866/x
  3. Step 3: Cross multiply
    198,094x = 306,866 × 306,866
  4. Step 4: Simplify right side
    198,094x = 94,166,741,956
  5. Step 5: Solve for x
    x = 94,166,741,956/198,094
  6. Step 6: Final answer
    x = 475,363.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.