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Finding the Third Proportional to 203,856.75 and 441,733.50

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Solution

The third proportional to 203,856.75 and 441,733.50 is: 957,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.75 : 441,733.50 = 441,733.50 : x
  2. Step 2: Convert to fraction form
    203,856.75/441,733.50 = 441,733.50/x
  3. Step 3: Cross multiply
    203,856.75x = 441,733.50 × 441,733.50
  4. Step 4: Simplify right side
    203,856.75x = 195,128,485,022.25
  5. Step 5: Solve for x
    x = 195,128,485,022.25/203,856.75
  6. Step 6: Final answer
    x = 957,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.