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Finding the Third Proportional to 184,902.75 and 399,269.25

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Solution

The third proportional to 184,902.75 and 399,269.25 is: 862,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,902.75 : 399,269.25 = 399,269.25 : x
  2. Step 2: Convert to fraction form
    184,902.75/399,269.25 = 399,269.25/x
  3. Step 3: Cross multiply
    184,902.75x = 399,269.25 × 399,269.25
  4. Step 4: Simplify right side
    184,902.75x = 159,415,933,995.56
  5. Step 5: Solve for x
    x = 159,415,933,995.56/184,902.75
  6. Step 6: Final answer
    x = 862,160.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.