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Finding the Third Proportional to 82,224.75 and 185,717.75

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Solution

The third proportional to 82,224.75 and 185,717.75 is: 419,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.75 : 185,717.75 = 185,717.75 : x
  2. Step 2: Convert to fraction form
    82,224.75/185,717.75 = 185,717.75/x
  3. Step 3: Cross multiply
    82,224.75x = 185,717.75 × 185,717.75
  4. Step 4: Simplify right side
    82,224.75x = 34,491,082,665.06
  5. Step 5: Solve for x
    x = 34,491,082,665.06/82,224.75
  6. Step 6: Final answer
    x = 419,473.24

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.