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Finding the Third Proportional to 111,412 and 230,204

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Solution

The third proportional to 111,412 and 230,204 is: 475,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,412 : 230,204 = 230,204 : x
  2. Step 2: Convert to fraction form
    111,412/230,204 = 230,204/x
  3. Step 3: Cross multiply
    111,412x = 230,204 × 230,204
  4. Step 4: Simplify right side
    111,412x = 52,993,881,616
  5. Step 5: Solve for x
    x = 52,993,881,616/111,412
  6. Step 6: Final answer
    x = 475,656.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.