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Finding the Third Proportional to 122,716.50 and 267,606

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Solution

The third proportional to 122,716.50 and 267,606 is: 583,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,716.50 : 267,606 = 267,606 : x
  2. Step 2: Convert to fraction form
    122,716.50/267,606 = 267,606/x
  3. Step 3: Cross multiply
    122,716.50x = 267,606 × 267,606
  4. Step 4: Simplify right side
    122,716.50x = 71,612,971,236
  5. Step 5: Solve for x
    x = 71,612,971,236/122,716.50
  6. Step 6: Final answer
    x = 583,564.32

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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.