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Finding the Third Proportional to 267,916 and 364,856

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Solution

The third proportional to 267,916 and 364,856 is: 496,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916 : 364,856 = 364,856 : x
  2. Step 2: Convert to fraction form
    267,916/364,856 = 364,856/x
  3. Step 3: Cross multiply
    267,916x = 364,856 × 364,856
  4. Step 4: Simplify right side
    267,916x = 133,119,900,736
  5. Step 5: Solve for x
    x = 133,119,900,736/267,916
  6. Step 6: Final answer
    x = 496,871.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.