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Finding the Third Proportional to 192,206 and 408,060

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Solution

The third proportional to 192,206 and 408,060 is: 866,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,206 : 408,060 = 408,060 : x
  2. Step 2: Convert to fraction form
    192,206/408,060 = 408,060/x
  3. Step 3: Cross multiply
    192,206x = 408,060 × 408,060
  4. Step 4: Simplify right side
    192,206x = 166,512,963,600
  5. Step 5: Solve for x
    x = 166,512,963,600/192,206
  6. Step 6: Final answer
    x = 866,325.52

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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.