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Finding the Third Proportional to 184,284.56 and 394,185.75

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Solution

The third proportional to 184,284.56 and 394,185.75 is: 843,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284.56 : 394,185.75 = 394,185.75 : x
  2. Step 2: Convert to fraction form
    184,284.56/394,185.75 = 394,185.75/x
  3. Step 3: Cross multiply
    184,284.56x = 394,185.75 × 394,185.75
  4. Step 4: Simplify right side
    184,284.56x = 155,382,405,503.06
  5. Step 5: Solve for x
    x = 155,382,405,503.06/184,284.56
  6. Step 6: Final answer
    x = 843,165.61

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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.