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Finding the Third Proportional to 204,775 and 425,898

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Solution

The third proportional to 204,775 and 425,898 is: 885,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,775 : 425,898 = 425,898 : x
  2. Step 2: Convert to fraction form
    204,775/425,898 = 425,898/x
  3. Step 3: Cross multiply
    204,775x = 425,898 × 425,898
  4. Step 4: Simplify right side
    204,775x = 181,389,106,404
  5. Step 5: Solve for x
    x = 181,389,106,404/204,775
  6. Step 6: Final answer
    x = 885,797.13

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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.