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Finding the Third Proportional to 184,072.50 and 394,368.75

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Solution

The third proportional to 184,072.50 and 394,368.75 is: 844,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,072.50 : 394,368.75 = 394,368.75 : x
  2. Step 2: Convert to fraction form
    184,072.50/394,368.75 = 394,368.75/x
  3. Step 3: Cross multiply
    184,072.50x = 394,368.75 × 394,368.75
  4. Step 4: Simplify right side
    184,072.50x = 155,526,710,976.56
  5. Step 5: Solve for x
    x = 155,526,710,976.56/184,072.50
  6. Step 6: Final answer
    x = 844,920.95

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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.