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Finding the Third Proportional to 267,811 and 367,228

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Solution

The third proportional to 267,811 and 367,228 is: 503,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,811 : 367,228 = 367,228 : x
  2. Step 2: Convert to fraction form
    267,811/367,228 = 367,228/x
  3. Step 3: Cross multiply
    267,811x = 367,228 × 367,228
  4. Step 4: Simplify right side
    267,811x = 134,856,403,984
  5. Step 5: Solve for x
    x = 134,856,403,984/267,811
  6. Step 6: Final answer
    x = 503,550.65

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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.