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Finding the Third Proportional to 198,310.78 and 468,052.17

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Solution

The third proportional to 198,310.78 and 468,052.17 is: 1,104,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310.78 : 468,052.17 = 468,052.17 : x
  2. Step 2: Convert to fraction form
    198,310.78/468,052.17 = 468,052.17/x
  3. Step 3: Cross multiply
    198,310.78x = 468,052.17 × 468,052.17
  4. Step 4: Simplify right side
    198,310.78x = 219,072,835,596.91
  5. Step 5: Solve for x
    x = 219,072,835,596.91/198,310.78
  6. Step 6: Final answer
    x = 1,104,694.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.