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Finding the Third Proportional to 184,749 and 394,770

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Solution

The third proportional to 184,749 and 394,770 is: 843,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,749 : 394,770 = 394,770 : x
  2. Step 2: Convert to fraction form
    184,749/394,770 = 394,770/x
  3. Step 3: Cross multiply
    184,749x = 394,770 × 394,770
  4. Step 4: Simplify right side
    184,749x = 155,843,352,900
  5. Step 5: Solve for x
    x = 155,843,352,900/184,749
  6. Step 6: Final answer
    x = 843,540.98

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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.