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Finding the Third Proportional to 267,809 and 367,225

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Solution

The third proportional to 267,809 and 367,225 is: 503,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,809 : 367,225 = 367,225 : x
  2. Step 2: Convert to fraction form
    267,809/367,225 = 367,225/x
  3. Step 3: Cross multiply
    267,809x = 367,225 × 367,225
  4. Step 4: Simplify right side
    267,809x = 134,854,200,625
  5. Step 5: Solve for x
    x = 134,854,200,625/267,809
  6. Step 6: Final answer
    x = 503,546.19

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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.