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Finding the Third Proportional to 192,056 and 412,542

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Solution

The third proportional to 192,056 and 412,542 is: 886,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,056 : 412,542 = 412,542 : x
  2. Step 2: Convert to fraction form
    192,056/412,542 = 412,542/x
  3. Step 3: Cross multiply
    192,056x = 412,542 × 412,542
  4. Step 4: Simplify right side
    192,056x = 170,190,901,764
  5. Step 5: Solve for x
    x = 170,190,901,764/192,056
  6. Step 6: Final answer
    x = 886,152.49

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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.