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Finding the Third Proportional to 184,718 and 394,708

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Solution

The third proportional to 184,718 and 394,708 is: 843,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,718 : 394,708 = 394,708 : x
  2. Step 2: Convert to fraction form
    184,718/394,708 = 394,708/x
  3. Step 3: Cross multiply
    184,718x = 394,708 × 394,708
  4. Step 4: Simplify right side
    184,718x = 155,794,405,264
  5. Step 5: Solve for x
    x = 155,794,405,264/184,718
  6. Step 6: Final answer
    x = 843,417.56

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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.