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Finding the Third Proportional to 203,471.50 and 441,970.50

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Solution

The third proportional to 203,471.50 and 441,970.50 is: 960,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471.50 : 441,970.50 = 441,970.50 : x
  2. Step 2: Convert to fraction form
    203,471.50/441,970.50 = 441,970.50/x
  3. Step 3: Cross multiply
    203,471.50x = 441,970.50 × 441,970.50
  4. Step 4: Simplify right side
    203,471.50x = 195,337,922,870.25
  5. Step 5: Solve for x
    x = 195,337,922,870.25/203,471.50
  6. Step 6: Final answer
    x = 960,025.96

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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.