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Finding the Third Proportional to 267,921 and 364,851

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Solution

The third proportional to 267,921 and 364,851 is: 496,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921 : 364,851 = 364,851 : x
  2. Step 2: Convert to fraction form
    267,921/364,851 = 364,851/x
  3. Step 3: Cross multiply
    267,921x = 364,851 × 364,851
  4. Step 4: Simplify right side
    267,921x = 133,116,252,201
  5. Step 5: Solve for x
    x = 133,116,252,201/267,921
  6. Step 6: Final answer
    x = 496,848.89

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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.