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Finding the Third Proportional to 267,813 and 367,231

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Solution

The third proportional to 267,813 and 367,231 is: 503,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,813 : 367,231 = 367,231 : x
  2. Step 2: Convert to fraction form
    267,813/367,231 = 367,231/x
  3. Step 3: Cross multiply
    267,813x = 367,231 × 367,231
  4. Step 4: Simplify right side
    267,813x = 134,858,607,361
  5. Step 5: Solve for x
    x = 134,858,607,361/267,813
  6. Step 6: Final answer
    x = 503,555.12

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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.