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Finding the Third Proportional to 192,116 and 413,824

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Solution

The third proportional to 192,116 and 413,824 is: 891,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,116 : 413,824 = 413,824 : x
  2. Step 2: Convert to fraction form
    192,116/413,824 = 413,824/x
  3. Step 3: Cross multiply
    192,116x = 413,824 × 413,824
  4. Step 4: Simplify right side
    192,116x = 171,250,302,976
  5. Step 5: Solve for x
    x = 171,250,302,976/192,116
  6. Step 6: Final answer
    x = 891,390.11

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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.