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Finding the Third Proportional to 267,698 and 367,085

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Solution

The third proportional to 267,698 and 367,085 is: 503,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698 : 367,085 = 367,085 : x
  2. Step 2: Convert to fraction form
    267,698/367,085 = 367,085/x
  3. Step 3: Cross multiply
    267,698x = 367,085 × 367,085
  4. Step 4: Simplify right side
    267,698x = 134,751,397,225
  5. Step 5: Solve for x
    x = 134,751,397,225/267,698
  6. Step 6: Final answer
    x = 503,370.95

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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.