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Finding the Third Proportional to 208,032 and 425,923

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Solution

The third proportional to 208,032 and 425,923 is: 872,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 425,923 = 425,923 : x
  2. Step 2: Convert to fraction form
    208,032/425,923 = 425,923/x
  3. Step 3: Cross multiply
    208,032x = 425,923 × 425,923
  4. Step 4: Simplify right side
    208,032x = 181,410,401,929
  5. Step 5: Solve for x
    x = 181,410,401,929/208,032
  6. Step 6: Final answer
    x = 872,031.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.