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Finding the Third Proportional to 123,224.75 and 255,812.75

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Solution

The third proportional to 123,224.75 and 255,812.75 is: 531,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,224.75 : 255,812.75 = 255,812.75 : x
  2. Step 2: Convert to fraction form
    123,224.75/255,812.75 = 255,812.75/x
  3. Step 3: Cross multiply
    123,224.75x = 255,812.75 × 255,812.75
  4. Step 4: Simplify right side
    123,224.75x = 65,440,163,062.56
  5. Step 5: Solve for x
    x = 65,440,163,062.56/123,224.75
  6. Step 6: Final answer
    x = 531,063.47

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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.