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Finding the Third Proportional to 184,972.50 and 398,018.25

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Solution

The third proportional to 184,972.50 and 398,018.25 is: 856,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,972.50 : 398,018.25 = 398,018.25 : x
  2. Step 2: Convert to fraction form
    184,972.50/398,018.25 = 398,018.25/x
  3. Step 3: Cross multiply
    184,972.50x = 398,018.25 × 398,018.25
  4. Step 4: Simplify right side
    184,972.50x = 158,418,527,333.06
  5. Step 5: Solve for x
    x = 158,418,527,333.06/184,972.50
  6. Step 6: Final answer
    x = 856,443.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.