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Finding the Third Proportional to 184,735.50 and 398,314.50

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Solution

The third proportional to 184,735.50 and 398,314.50 is: 858,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,735.50 : 398,314.50 = 398,314.50 : x
  2. Step 2: Convert to fraction form
    184,735.50/398,314.50 = 398,314.50/x
  3. Step 3: Cross multiply
    184,735.50x = 398,314.50 × 398,314.50
  4. Step 4: Simplify right side
    184,735.50x = 158,654,440,910.25
  5. Step 5: Solve for x
    x = 158,654,440,910.25/184,735.50
  6. Step 6: Final answer
    x = 858,819.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.