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Finding the Third Proportional to 184,718 and 398,965

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Solution

The third proportional to 184,718 and 398,965 is: 861,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,718 : 398,965 = 398,965 : x
  2. Step 2: Convert to fraction form
    184,718/398,965 = 398,965/x
  3. Step 3: Cross multiply
    184,718x = 398,965 × 398,965
  4. Step 4: Simplify right side
    184,718x = 159,173,071,225
  5. Step 5: Solve for x
    x = 159,173,071,225/184,718
  6. Step 6: Final answer
    x = 861,708.50

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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.