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Finding the Third Proportional to 267,564 and 366,899

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Solution

The third proportional to 267,564 and 366,899 is: 503,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564 : 366,899 = 366,899 : x
  2. Step 2: Convert to fraction form
    267,564/366,899 = 366,899/x
  3. Step 3: Cross multiply
    267,564x = 366,899 × 366,899
  4. Step 4: Simplify right side
    267,564x = 134,614,876,201
  5. Step 5: Solve for x
    x = 134,614,876,201/267,564
  6. Step 6: Final answer
    x = 503,112.81

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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.