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Finding the Third Proportional to 267,856 and 367,280

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Solution

The third proportional to 267,856 and 367,280 is: 503,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,856 : 367,280 = 367,280 : x
  2. Step 2: Convert to fraction form
    267,856/367,280 = 367,280/x
  3. Step 3: Cross multiply
    267,856x = 367,280 × 367,280
  4. Step 4: Simplify right side
    267,856x = 134,894,598,400
  5. Step 5: Solve for x
    x = 134,894,598,400/267,856
  6. Step 6: Final answer
    x = 503,608.65

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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.