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Finding the Third Proportional to 123,399 and 256,131

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Solution

The third proportional to 123,399 and 256,131 is: 531,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,399 : 256,131 = 256,131 : x
  2. Step 2: Convert to fraction form
    123,399/256,131 = 256,131/x
  3. Step 3: Cross multiply
    123,399x = 256,131 × 256,131
  4. Step 4: Simplify right side
    123,399x = 65,603,089,161
  5. Step 5: Solve for x
    x = 65,603,089,161/123,399
  6. Step 6: Final answer
    x = 531,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.