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Finding the Third Proportional to 201,204 and 426,393

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Solution

The third proportional to 201,204 and 426,393 is: 903,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 426,393 = 426,393 : x
  2. Step 2: Convert to fraction form
    201,204/426,393 = 426,393/x
  3. Step 3: Cross multiply
    201,204x = 426,393 × 426,393
  4. Step 4: Simplify right side
    201,204x = 181,810,990,449
  5. Step 5: Solve for x
    x = 181,810,990,449/201,204
  6. Step 6: Final answer
    x = 903,615.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.