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Finding the Third Proportional to 267,633 and 366,996

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Solution

The third proportional to 267,633 and 366,996 is: 503,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,633 : 366,996 = 366,996 : x
  2. Step 2: Convert to fraction form
    267,633/366,996 = 366,996/x
  3. Step 3: Cross multiply
    267,633x = 366,996 × 366,996
  4. Step 4: Simplify right side
    267,633x = 134,686,064,016
  5. Step 5: Solve for x
    x = 134,686,064,016/267,633
  6. Step 6: Final answer
    x = 503,249.09

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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.