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Finding the Third Proportional to 82,472 and 183,832

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Solution

The third proportional to 82,472 and 183,832 is: 409,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,472 : 183,832 = 183,832 : x
  2. Step 2: Convert to fraction form
    82,472/183,832 = 183,832/x
  3. Step 3: Cross multiply
    82,472x = 183,832 × 183,832
  4. Step 4: Simplify right side
    82,472x = 33,794,204,224
  5. Step 5: Solve for x
    x = 33,794,204,224/82,472
  6. Step 6: Final answer
    x = 409,765.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.