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Finding the Third Proportional to 110,536 and 234,204

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Solution

The third proportional to 110,536 and 234,204 is: 496,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536 : 234,204 = 234,204 : x
  2. Step 2: Convert to fraction form
    110,536/234,204 = 234,204/x
  3. Step 3: Cross multiply
    110,536x = 234,204 × 234,204
  4. Step 4: Simplify right side
    110,536x = 54,851,513,616
  5. Step 5: Solve for x
    x = 54,851,513,616/110,536
  6. Step 6: Final answer
    x = 496,232.12

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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.