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Finding the Third Proportional to 198,930.94 and 407,052.84

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Solution

The third proportional to 198,930.94 and 407,052.84 is: 832,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,930.94 : 407,052.84 = 407,052.84 : x
  2. Step 2: Convert to fraction form
    198,930.94/407,052.84 = 407,052.84/x
  3. Step 3: Cross multiply
    198,930.94x = 407,052.84 × 407,052.84
  4. Step 4: Simplify right side
    198,930.94x = 165,692,017,604.96
  5. Step 5: Solve for x
    x = 165,692,017,604.96/198,930.94
  6. Step 6: Final answer
    x = 832,912.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.