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Finding the Third Proportional to 192,364 and 413,144

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Solution

The third proportional to 192,364 and 413,144 is: 887,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,364 : 413,144 = 413,144 : x
  2. Step 2: Convert to fraction form
    192,364/413,144 = 413,144/x
  3. Step 3: Cross multiply
    192,364x = 413,144 × 413,144
  4. Step 4: Simplify right side
    192,364x = 170,687,964,736
  5. Step 5: Solve for x
    x = 170,687,964,736/192,364
  6. Step 6: Final answer
    x = 887,317.61

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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.