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Finding the Third Proportional to 120,586 and 261,924

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Solution

The third proportional to 120,586 and 261,924 is: 568,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,586 : 261,924 = 261,924 : x
  2. Step 2: Convert to fraction form
    120,586/261,924 = 261,924/x
  3. Step 3: Cross multiply
    120,586x = 261,924 × 261,924
  4. Step 4: Simplify right side
    120,586x = 68,604,181,776
  5. Step 5: Solve for x
    x = 68,604,181,776/120,586
  6. Step 6: Final answer
    x = 568,923.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.