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Finding the Third Proportional to 198,941.06 and 407,073.94

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Solution

The third proportional to 198,941.06 and 407,073.94 is: 832,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941.06 : 407,073.94 = 407,073.94 : x
  2. Step 2: Convert to fraction form
    198,941.06/407,073.94 = 407,073.94/x
  3. Step 3: Cross multiply
    198,941.06x = 407,073.94 × 407,073.94
  4. Step 4: Simplify right side
    198,941.06x = 165,709,190,591.75
  5. Step 5: Solve for x
    x = 165,709,190,591.75/198,941.06
  6. Step 6: Final answer
    x = 832,956.20

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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.