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Finding the Third Proportional to 238,296 and 513,204

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Solution

The third proportional to 238,296 and 513,204 is: 1,105,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,296 : 513,204 = 513,204 : x
  2. Step 2: Convert to fraction form
    238,296/513,204 = 513,204/x
  3. Step 3: Cross multiply
    238,296x = 513,204 × 513,204
  4. Step 4: Simplify right side
    238,296x = 263,378,345,616
  5. Step 5: Solve for x
    x = 263,378,345,616/238,296
  6. Step 6: Final answer
    x = 1,105,257.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.