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Finding the Third Proportional to 267,925 and 364,857

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Solution

The third proportional to 267,925 and 364,857 is: 496,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,925 : 364,857 = 364,857 : x
  2. Step 2: Convert to fraction form
    267,925/364,857 = 364,857/x
  3. Step 3: Cross multiply
    267,925x = 364,857 × 364,857
  4. Step 4: Simplify right side
    267,925x = 133,120,630,449
  5. Step 5: Solve for x
    x = 133,120,630,449/267,925
  6. Step 6: Final answer
    x = 496,857.82

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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.