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Finding the Third Proportional to 203,138 and 440,176

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Solution

The third proportional to 203,138 and 440,176 is: 953,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,138 : 440,176 = 440,176 : x
  2. Step 2: Convert to fraction form
    203,138/440,176 = 440,176/x
  3. Step 3: Cross multiply
    203,138x = 440,176 × 440,176
  4. Step 4: Simplify right side
    203,138x = 193,754,910,976
  5. Step 5: Solve for x
    x = 193,754,910,976/203,138
  6. Step 6: Final answer
    x = 953,809.29

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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.