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Finding the Third Proportional to 267,846 and 363,768

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Solution

The third proportional to 267,846 and 363,768 is: 494,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846 : 363,768 = 363,768 : x
  2. Step 2: Convert to fraction form
    267,846/363,768 = 363,768/x
  3. Step 3: Cross multiply
    267,846x = 363,768 × 363,768
  4. Step 4: Simplify right side
    267,846x = 132,327,157,824
  5. Step 5: Solve for x
    x = 132,327,157,824/267,846
  6. Step 6: Final answer
    x = 494,041.94

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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.