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Finding the Third Proportional to 267,568 and 366,906

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Solution

The third proportional to 267,568 and 366,906 is: 503,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,568 : 366,906 = 366,906 : x
  2. Step 2: Convert to fraction form
    267,568/366,906 = 366,906/x
  3. Step 3: Cross multiply
    267,568x = 366,906 × 366,906
  4. Step 4: Simplify right side
    267,568x = 134,620,012,836
  5. Step 5: Solve for x
    x = 134,620,012,836/267,568
  6. Step 6: Final answer
    x = 503,124.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.