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Finding the Third Proportional to 184,728 and 394,728

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Solution

The third proportional to 184,728 and 394,728 is: 843,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,728 : 394,728 = 394,728 : x
  2. Step 2: Convert to fraction form
    184,728/394,728 = 394,728/x
  3. Step 3: Cross multiply
    184,728x = 394,728 × 394,728
  4. Step 4: Simplify right side
    184,728x = 155,810,193,984
  5. Step 5: Solve for x
    x = 155,810,193,984/184,728
  6. Step 6: Final answer
    x = 843,457.38

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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.