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Finding the Third Proportional to 203,967.94 and 441,834.94

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Solution

The third proportional to 203,967.94 and 441,834.94 is: 957,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,967.94 : 441,834.94 = 441,834.94 : x
  2. Step 2: Convert to fraction form
    203,967.94/441,834.94 = 441,834.94/x
  3. Step 3: Cross multiply
    203,967.94x = 441,834.94 × 441,834.94
  4. Step 4: Simplify right side
    203,967.94x = 195,218,111,995.63
  5. Step 5: Solve for x
    x = 195,218,111,995.63/203,967.94
  6. Step 6: Final answer
    x = 957,101.96

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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.