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Finding the Third Proportional to 192,100 and 413,792

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Solution

The third proportional to 192,100 and 413,792 is: 891,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,100 : 413,792 = 413,792 : x
  2. Step 2: Convert to fraction form
    192,100/413,792 = 413,792/x
  3. Step 3: Cross multiply
    192,100x = 413,792 × 413,792
  4. Step 4: Simplify right side
    192,100x = 171,223,819,264
  5. Step 5: Solve for x
    x = 171,223,819,264/192,100
  6. Step 6: Final answer
    x = 891,326.49

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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.