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Finding the Third Proportional to 184,977 and 398,027.25

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Solution

The third proportional to 184,977 and 398,027.25 is: 856,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,977 : 398,027.25 = 398,027.25 : x
  2. Step 2: Convert to fraction form
    184,977/398,027.25 = 398,027.25/x
  3. Step 3: Cross multiply
    184,977x = 398,027.25 × 398,027.25
  4. Step 4: Simplify right side
    184,977x = 158,425,691,742.56
  5. Step 5: Solve for x
    x = 158,425,691,742.56/184,977
  6. Step 6: Final answer
    x = 856,461.57

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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.