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Finding the Third Proportional to 211,183.50 and 425,823

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Solution

The third proportional to 211,183.50 and 425,823 is: 858,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,183.50 : 425,823 = 425,823 : x
  2. Step 2: Convert to fraction form
    211,183.50/425,823 = 425,823/x
  3. Step 3: Cross multiply
    211,183.50x = 425,823 × 425,823
  4. Step 4: Simplify right side
    211,183.50x = 181,325,227,329
  5. Step 5: Solve for x
    x = 181,325,227,329/211,183.50
  6. Step 6: Final answer
    x = 858,614.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.