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Finding the Third Proportional to 184,881 and 398,250

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Solution

The third proportional to 184,881 and 398,250 is: 857,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,881 : 398,250 = 398,250 : x
  2. Step 2: Convert to fraction form
    184,881/398,250 = 398,250/x
  3. Step 3: Cross multiply
    184,881x = 398,250 × 398,250
  4. Step 4: Simplify right side
    184,881x = 158,603,062,500
  5. Step 5: Solve for x
    x = 158,603,062,500/184,881
  6. Step 6: Final answer
    x = 857,865.67

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Why These Related Problems?

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