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Finding the Third Proportional to 120,236 and 256,556

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Solution

The third proportional to 120,236 and 256,556 is: 547,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,236 : 256,556 = 256,556 : x
  2. Step 2: Convert to fraction form
    120,236/256,556 = 256,556/x
  3. Step 3: Cross multiply
    120,236x = 256,556 × 256,556
  4. Step 4: Simplify right side
    120,236x = 65,820,981,136
  5. Step 5: Solve for x
    x = 65,820,981,136/120,236
  6. Step 6: Final answer
    x = 547,431.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.