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Finding the Third Proportional to 123,103.50 and 267,777

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Solution

The third proportional to 123,103.50 and 267,777 is: 582,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,103.50 : 267,777 = 267,777 : x
  2. Step 2: Convert to fraction form
    123,103.50/267,777 = 267,777/x
  3. Step 3: Cross multiply
    123,103.50x = 267,777 × 267,777
  4. Step 4: Simplify right side
    123,103.50x = 71,704,521,729
  5. Step 5: Solve for x
    x = 71,704,521,729/123,103.50
  6. Step 6: Final answer
    x = 582,473.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.