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Finding the Third Proportional to 202,266 and 440,189

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Solution

The third proportional to 202,266 and 440,189 is: 957,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,266 : 440,189 = 440,189 : x
  2. Step 2: Convert to fraction form
    202,266/440,189 = 440,189/x
  3. Step 3: Cross multiply
    202,266x = 440,189 × 440,189
  4. Step 4: Simplify right side
    202,266x = 193,766,355,721
  5. Step 5: Solve for x
    x = 193,766,355,721/202,266
  6. Step 6: Final answer
    x = 957,977.89

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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.