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Finding the Third Proportional to 85,940 and 184,576

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Solution

The third proportional to 85,940 and 184,576 is: 396,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,940 : 184,576 = 184,576 : x
  2. Step 2: Convert to fraction form
    85,940/184,576 = 184,576/x
  3. Step 3: Cross multiply
    85,940x = 184,576 × 184,576
  4. Step 4: Simplify right side
    85,940x = 34,068,299,776
  5. Step 5: Solve for x
    x = 34,068,299,776/85,940
  6. Step 6: Final answer
    x = 396,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.