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Finding the Third Proportional to 159,744 and 347,824

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Solution

The third proportional to 159,744 and 347,824 is: 757,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744 : 347,824 = 347,824 : x
  2. Step 2: Convert to fraction form
    159,744/347,824 = 347,824/x
  3. Step 3: Cross multiply
    159,744x = 347,824 × 347,824
  4. Step 4: Simplify right side
    159,744x = 120,981,534,976
  5. Step 5: Solve for x
    x = 120,981,534,976/159,744
  6. Step 6: Final answer
    x = 757,346.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.