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Finding the Third Proportional to 120,588 and 261,927

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Solution

The third proportional to 120,588 and 261,927 is: 568,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,588 : 261,927 = 261,927 : x
  2. Step 2: Convert to fraction form
    120,588/261,927 = 261,927/x
  3. Step 3: Cross multiply
    120,588x = 261,927 × 261,927
  4. Step 4: Simplify right side
    120,588x = 68,605,753,329
  5. Step 5: Solve for x
    x = 68,605,753,329/120,588
  6. Step 6: Final answer
    x = 568,926.87

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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.