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Finding the Third Proportional to 203,856.50 and 414,478.75

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Solution

The third proportional to 203,856.50 and 414,478.75 is: 842,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.50 : 414,478.75 = 414,478.75 : x
  2. Step 2: Convert to fraction form
    203,856.50/414,478.75 = 414,478.75/x
  3. Step 3: Cross multiply
    203,856.50x = 414,478.75 × 414,478.75
  4. Step 4: Simplify right side
    203,856.50x = 171,792,634,201.56
  5. Step 5: Solve for x
    x = 171,792,634,201.56/203,856.50
  6. Step 6: Final answer
    x = 842,713.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.