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Finding the Third Proportional to 267,538 and 366,858

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Solution

The third proportional to 267,538 and 366,858 is: 503,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538 : 366,858 = 366,858 : x
  2. Step 2: Convert to fraction form
    267,538/366,858 = 366,858/x
  3. Step 3: Cross multiply
    267,538x = 366,858 × 366,858
  4. Step 4: Simplify right side
    267,538x = 134,584,792,164
  5. Step 5: Solve for x
    x = 134,584,792,164/267,538
  6. Step 6: Final answer
    x = 503,049.26

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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.