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Finding the Third Proportional to 184,780 and 399,104

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Solution

The third proportional to 184,780 and 399,104 is: 862,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,780 : 399,104 = 399,104 : x
  2. Step 2: Convert to fraction form
    184,780/399,104 = 399,104/x
  3. Step 3: Cross multiply
    184,780x = 399,104 × 399,104
  4. Step 4: Simplify right side
    184,780x = 159,284,002,816
  5. Step 5: Solve for x
    x = 159,284,002,816/184,780
  6. Step 6: Final answer
    x = 862,019.71

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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.