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Finding the Third Proportional to 203,553.50 and 434,158.75

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Solution

The third proportional to 203,553.50 and 434,158.75 is: 926,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,553.50 : 434,158.75 = 434,158.75 : x
  2. Step 2: Convert to fraction form
    203,553.50/434,158.75 = 434,158.75/x
  3. Step 3: Cross multiply
    203,553.50x = 434,158.75 × 434,158.75
  4. Step 4: Simplify right side
    203,553.50x = 188,493,820,201.56
  5. Step 5: Solve for x
    x = 188,493,820,201.56/203,553.50
  6. Step 6: Final answer
    x = 926,016.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.