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Finding the Third Proportional to 120,580 and 261,916

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Solution

The third proportional to 120,580 and 261,916 is: 568,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580 : 261,916 = 261,916 : x
  2. Step 2: Convert to fraction form
    120,580/261,916 = 261,916/x
  3. Step 3: Cross multiply
    120,580x = 261,916 × 261,916
  4. Step 4: Simplify right side
    120,580x = 68,599,991,056
  5. Step 5: Solve for x
    x = 68,599,991,056/120,580
  6. Step 6: Final answer
    x = 568,916.83

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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.