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Finding the Third Proportional to 267,573 and 366,912

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Solution

The third proportional to 267,573 and 366,912 is: 503,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,573 : 366,912 = 366,912 : x
  2. Step 2: Convert to fraction form
    267,573/366,912 = 366,912/x
  3. Step 3: Cross multiply
    267,573x = 366,912 × 366,912
  4. Step 4: Simplify right side
    267,573x = 134,624,415,744
  5. Step 5: Solve for x
    x = 134,624,415,744/267,573
  6. Step 6: Final answer
    x = 503,131.54

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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.