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Finding the Third Proportional to 203,553.50 and 434,158.50

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Solution

The third proportional to 203,553.50 and 434,158.50 is: 926,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,553.50 : 434,158.50 = 434,158.50 : x
  2. Step 2: Convert to fraction form
    203,553.50/434,158.50 = 434,158.50/x
  3. Step 3: Cross multiply
    203,553.50x = 434,158.50 × 434,158.50
  4. Step 4: Simplify right side
    203,553.50x = 188,493,603,122.25
  5. Step 5: Solve for x
    x = 188,493,603,122.25/203,553.50
  6. Step 6: Final answer
    x = 926,015.04

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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.