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Finding the Third Proportional to 122,704.88 and 267,583.50

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Solution

The third proportional to 122,704.88 and 267,583.50 is: 583,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,704.88 : 267,583.50 = 267,583.50 : x
  2. Step 2: Convert to fraction form
    122,704.88/267,583.50 = 267,583.50/x
  3. Step 3: Cross multiply
    122,704.88x = 267,583.50 × 267,583.50
  4. Step 4: Simplify right side
    122,704.88x = 71,600,929,472.25
  5. Step 5: Solve for x
    x = 71,600,929,472.25/122,704.88
  6. Step 6: Final answer
    x = 583,521.47

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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.