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Finding the Third Proportional to 123,197.20 and 256,200.47

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Solution

The third proportional to 123,197.20 and 256,200.47 is: 532,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,197.20 : 256,200.47 = 256,200.47 : x
  2. Step 2: Convert to fraction form
    123,197.20/256,200.47 = 256,200.47/x
  3. Step 3: Cross multiply
    123,197.20x = 256,200.47 × 256,200.47
  4. Step 4: Simplify right side
    123,197.20x = 65,638,680,187.72
  5. Step 5: Solve for x
    x = 65,638,680,187.72/123,197.20
  6. Step 6: Final answer
    x = 532,793.59

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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.