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Finding the Third Proportional to 215,811 and 440,189

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Solution

The third proportional to 215,811 and 440,189 is: 897,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,811 : 440,189 = 440,189 : x
  2. Step 2: Convert to fraction form
    215,811/440,189 = 440,189/x
  3. Step 3: Cross multiply
    215,811x = 440,189 × 440,189
  4. Step 4: Simplify right side
    215,811x = 193,766,355,721
  5. Step 5: Solve for x
    x = 193,766,355,721/215,811
  6. Step 6: Final answer
    x = 897,852.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.