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Finding the Third Proportional to 267,538 and 366,860

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Solution

The third proportional to 267,538 and 366,860 is: 503,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538 : 366,860 = 366,860 : x
  2. Step 2: Convert to fraction form
    267,538/366,860 = 366,860/x
  3. Step 3: Cross multiply
    267,538x = 366,860 × 366,860
  4. Step 4: Simplify right side
    267,538x = 134,586,259,600
  5. Step 5: Solve for x
    x = 134,586,259,600/267,538
  6. Step 6: Final answer
    x = 503,054.74

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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.