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Finding the Third Proportional to 267,822 and 367,243

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Solution

The third proportional to 267,822 and 367,243 is: 503,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822 : 367,243 = 367,243 : x
  2. Step 2: Convert to fraction form
    267,822/367,243 = 367,243/x
  3. Step 3: Cross multiply
    267,822x = 367,243 × 367,243
  4. Step 4: Simplify right side
    267,822x = 134,867,421,049
  5. Step 5: Solve for x
    x = 134,867,421,049/267,822
  6. Step 6: Final answer
    x = 503,571.11

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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.