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Finding the Third Proportional to 267,548 and 366,876

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Solution

The third proportional to 267,548 and 366,876 is: 503,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,548 : 366,876 = 366,876 : x
  2. Step 2: Convert to fraction form
    267,548/366,876 = 366,876/x
  3. Step 3: Cross multiply
    267,548x = 366,876 × 366,876
  4. Step 4: Simplify right side
    267,548x = 134,597,999,376
  5. Step 5: Solve for x
    x = 134,597,999,376/267,548
  6. Step 6: Final answer
    x = 503,079.82

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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.