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Finding the Third Proportional to 184,786 and 399,116

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Solution

The third proportional to 184,786 and 399,116 is: 862,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,786 : 399,116 = 399,116 : x
  2. Step 2: Convert to fraction form
    184,786/399,116 = 399,116/x
  3. Step 3: Cross multiply
    184,786x = 399,116 × 399,116
  4. Step 4: Simplify right side
    184,786x = 159,293,581,456
  5. Step 5: Solve for x
    x = 159,293,581,456/184,786
  6. Step 6: Final answer
    x = 862,043.56

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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.