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Finding the Third Proportional to 267,690 and 367,073

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Solution

The third proportional to 267,690 and 367,073 is: 503,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,690 : 367,073 = 367,073 : x
  2. Step 2: Convert to fraction form
    267,690/367,073 = 367,073/x
  3. Step 3: Cross multiply
    267,690x = 367,073 × 367,073
  4. Step 4: Simplify right side
    267,690x = 134,742,587,329
  5. Step 5: Solve for x
    x = 134,742,587,329/267,690
  6. Step 6: Final answer
    x = 503,353.09

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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.