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Finding the Third Proportional to 192,112 and 413,816

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Solution

The third proportional to 192,112 and 413,816 is: 891,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,112 : 413,816 = 413,816 : x
  2. Step 2: Convert to fraction form
    192,112/413,816 = 413,816/x
  3. Step 3: Cross multiply
    192,112x = 413,816 × 413,816
  4. Step 4: Simplify right side
    192,112x = 171,243,681,856
  5. Step 5: Solve for x
    x = 171,243,681,856/192,112
  6. Step 6: Final answer
    x = 891,374.21

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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.