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Finding the Third Proportional to 184,081.50 and 394,402.50

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Solution

The third proportional to 184,081.50 and 394,402.50 is: 845,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,081.50 : 394,402.50 = 394,402.50 : x
  2. Step 2: Convert to fraction form
    184,081.50/394,402.50 = 394,402.50/x
  3. Step 3: Cross multiply
    184,081.50x = 394,402.50 × 394,402.50
  4. Step 4: Simplify right side
    184,081.50x = 155,553,332,006.25
  5. Step 5: Solve for x
    x = 155,553,332,006.25/184,081.50
  6. Step 6: Final answer
    x = 845,024.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.