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Finding the Third Proportional to 203,208.75 and 434,438.44

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Solution

The third proportional to 203,208.75 and 434,438.44 is: 928,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.75 : 434,438.44 = 434,438.44 : x
  2. Step 2: Convert to fraction form
    203,208.75/434,438.44 = 434,438.44/x
  3. Step 3: Cross multiply
    203,208.75x = 434,438.44 × 434,438.44
  4. Step 4: Simplify right side
    203,208.75x = 188,736,755,977.44
  5. Step 5: Solve for x
    x = 188,736,755,977.44/203,208.75
  6. Step 6: Final answer
    x = 928,782.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.