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Finding the Third Proportional to 267,544 and 366,870

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Solution

The third proportional to 267,544 and 366,870 is: 503,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,544 : 366,870 = 366,870 : x
  2. Step 2: Convert to fraction form
    267,544/366,870 = 366,870/x
  3. Step 3: Cross multiply
    267,544x = 366,870 × 366,870
  4. Step 4: Simplify right side
    267,544x = 134,593,596,900
  5. Step 5: Solve for x
    x = 134,593,596,900/267,544
  6. Step 6: Final answer
    x = 503,070.89

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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.