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Finding the Third Proportional to 204,771 and 425,890.50

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Solution

The third proportional to 204,771 and 425,890.50 is: 885,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,771 : 425,890.50 = 425,890.50 : x
  2. Step 2: Convert to fraction form
    204,771/425,890.50 = 425,890.50/x
  3. Step 3: Cross multiply
    204,771x = 425,890.50 × 425,890.50
  4. Step 4: Simplify right side
    204,771x = 181,382,717,990.25
  5. Step 5: Solve for x
    x = 181,382,717,990.25/204,771
  6. Step 6: Final answer
    x = 885,783.23

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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.