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Finding the Third Proportional to 267,684 and 367,064

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Solution

The third proportional to 267,684 and 367,064 is: 503,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684 : 367,064 = 367,064 : x
  2. Step 2: Convert to fraction form
    267,684/367,064 = 367,064/x
  3. Step 3: Cross multiply
    267,684x = 367,064 × 367,064
  4. Step 4: Simplify right side
    267,684x = 134,735,980,096
  5. Step 5: Solve for x
    x = 134,735,980,096/267,684
  6. Step 6: Final answer
    x = 503,339.68

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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.