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Finding the Third Proportional to 204,772 and 425,892

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Solution

The third proportional to 204,772 and 425,892 is: 885,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,772 : 425,892 = 425,892 : x
  2. Step 2: Convert to fraction form
    204,772/425,892 = 425,892/x
  3. Step 3: Cross multiply
    204,772x = 425,892 × 425,892
  4. Step 4: Simplify right side
    204,772x = 181,383,995,664
  5. Step 5: Solve for x
    x = 181,383,995,664/204,772
  6. Step 6: Final answer
    x = 885,785.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.