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Finding the Third Proportional to 184,746 and 394,764

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Solution

The third proportional to 184,746 and 394,764 is: 843,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,746 : 394,764 = 394,764 : x
  2. Step 2: Convert to fraction form
    184,746/394,764 = 394,764/x
  3. Step 3: Cross multiply
    184,746x = 394,764 × 394,764
  4. Step 4: Simplify right side
    184,746x = 155,838,615,696
  5. Step 5: Solve for x
    x = 155,838,615,696/184,746
  6. Step 6: Final answer
    x = 843,529.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.