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Finding the Third Proportional to 202,100 and 441,393

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Solution

The third proportional to 202,100 and 441,393 is: 964,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100 : 441,393 = 441,393 : x
  2. Step 2: Convert to fraction form
    202,100/441,393 = 441,393/x
  3. Step 3: Cross multiply
    202,100x = 441,393 × 441,393
  4. Step 4: Simplify right side
    202,100x = 194,827,780,449
  5. Step 5: Solve for x
    x = 194,827,780,449/202,100
  6. Step 6: Final answer
    x = 964,016.73

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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.