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Finding the Third Proportional to 245,664 and 394,092

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Solution

The third proportional to 245,664 and 394,092 is: 632,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 394,092 = 394,092 : x
  2. Step 2: Convert to fraction form
    245,664/394,092 = 394,092/x
  3. Step 3: Cross multiply
    245,664x = 394,092 × 394,092
  4. Step 4: Simplify right side
    245,664x = 155,308,504,464
  5. Step 5: Solve for x
    x = 155,308,504,464/245,664
  6. Step 6: Final answer
    x = 632,198.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.