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Finding the Third Proportional to 184,755 and 398,002

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Solution

The third proportional to 184,755 and 398,002 is: 857,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,755 : 398,002 = 398,002 : x
  2. Step 2: Convert to fraction form
    184,755/398,002 = 398,002/x
  3. Step 3: Cross multiply
    184,755x = 398,002 × 398,002
  4. Step 4: Simplify right side
    184,755x = 158,405,592,004
  5. Step 5: Solve for x
    x = 158,405,592,004/184,755
  6. Step 6: Final answer
    x = 857,381.89

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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.