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Finding the Third Proportional to 203,666 and 447,180

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Solution

The third proportional to 203,666 and 447,180 is: 981,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,666 : 447,180 = 447,180 : x
  2. Step 2: Convert to fraction form
    203,666/447,180 = 447,180/x
  3. Step 3: Cross multiply
    203,666x = 447,180 × 447,180
  4. Step 4: Simplify right side
    203,666x = 199,969,952,400
  5. Step 5: Solve for x
    x = 199,969,952,400/203,666
  6. Step 6: Final answer
    x = 981,852.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.