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Finding the Third Proportional to 110,706 and 237,204

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Solution

The third proportional to 110,706 and 237,204 is: 508,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,706 : 237,204 = 237,204 : x
  2. Step 2: Convert to fraction form
    110,706/237,204 = 237,204/x
  3. Step 3: Cross multiply
    110,706x = 237,204 × 237,204
  4. Step 4: Simplify right side
    110,706x = 56,265,737,616
  5. Step 5: Solve for x
    x = 56,265,737,616/110,706
  6. Step 6: Final answer
    x = 508,244.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.