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Finding the Third Proportional to 267,678 and 367,055

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Solution

The third proportional to 267,678 and 367,055 is: 503,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,678 : 367,055 = 367,055 : x
  2. Step 2: Convert to fraction form
    267,678/367,055 = 367,055/x
  3. Step 3: Cross multiply
    267,678x = 367,055 × 367,055
  4. Step 4: Simplify right side
    267,678x = 134,729,373,025
  5. Step 5: Solve for x
    x = 134,729,373,025/267,678
  6. Step 6: Final answer
    x = 503,326.28

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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.