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Finding the Third Proportional to 202,112 and 440,104

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Solution

The third proportional to 202,112 and 440,104 is: 958,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112 : 440,104 = 440,104 : x
  2. Step 2: Convert to fraction form
    202,112/440,104 = 440,104/x
  3. Step 3: Cross multiply
    202,112x = 440,104 × 440,104
  4. Step 4: Simplify right side
    202,112x = 193,691,530,816
  5. Step 5: Solve for x
    x = 193,691,530,816/202,112
  6. Step 6: Final answer
    x = 958,337.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.