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Finding the Third Proportional to 120,267 and 260,946

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Solution

The third proportional to 120,267 and 260,946 is: 566,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,267 : 260,946 = 260,946 : x
  2. Step 2: Convert to fraction form
    120,267/260,946 = 260,946/x
  3. Step 3: Cross multiply
    120,267x = 260,946 × 260,946
  4. Step 4: Simplify right side
    120,267x = 68,092,814,916
  5. Step 5: Solve for x
    x = 68,092,814,916/120,267
  6. Step 6: Final answer
    x = 566,180.37

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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.