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Finding the Third Proportional to 192,860 and 417,796

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Solution

The third proportional to 192,860 and 417,796 is: 905,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,860 : 417,796 = 417,796 : x
  2. Step 2: Convert to fraction form
    192,860/417,796 = 417,796/x
  3. Step 3: Cross multiply
    192,860x = 417,796 × 417,796
  4. Step 4: Simplify right side
    192,860x = 174,553,497,616
  5. Step 5: Solve for x
    x = 174,553,497,616/192,860
  6. Step 6: Final answer
    x = 905,078.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.