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Finding the Third Proportional to 267,704 and 367,094

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Solution

The third proportional to 267,704 and 367,094 is: 503,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,704 : 367,094 = 367,094 : x
  2. Step 2: Convert to fraction form
    267,704/367,094 = 367,094/x
  3. Step 3: Cross multiply
    267,704x = 367,094 × 367,094
  4. Step 4: Simplify right side
    267,704x = 134,758,004,836
  5. Step 5: Solve for x
    x = 134,758,004,836/267,704
  6. Step 6: Final answer
    x = 503,384.35

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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.