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Finding the Third Proportional to 181,446 and 394,050

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Solution

The third proportional to 181,446 and 394,050 is: 855,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,446 : 394,050 = 394,050 : x
  2. Step 2: Convert to fraction form
    181,446/394,050 = 394,050/x
  3. Step 3: Cross multiply
    181,446x = 394,050 × 394,050
  4. Step 4: Simplify right side
    181,446x = 155,275,402,500
  5. Step 5: Solve for x
    x = 155,275,402,500/181,446
  6. Step 6: Final answer
    x = 855,766.47

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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.