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Finding the Third Proportional to 203,132 and 440,161

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Solution

The third proportional to 203,132 and 440,161 is: 953,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,132 : 440,161 = 440,161 : x
  2. Step 2: Convert to fraction form
    203,132/440,161 = 440,161/x
  3. Step 3: Cross multiply
    203,132x = 440,161 × 440,161
  4. Step 4: Simplify right side
    203,132x = 193,741,705,921
  5. Step 5: Solve for x
    x = 193,741,705,921/203,132
  6. Step 6: Final answer
    x = 953,772.45

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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.