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Finding the Third Proportional to 267,596 and 366,951

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Solution

The third proportional to 267,596 and 366,951 is: 503,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,596 : 366,951 = 366,951 : x
  2. Step 2: Convert to fraction form
    267,596/366,951 = 366,951/x
  3. Step 3: Cross multiply
    267,596x = 366,951 × 366,951
  4. Step 4: Simplify right side
    267,596x = 134,653,036,401
  5. Step 5: Solve for x
    x = 134,653,036,401/267,596
  6. Step 6: Final answer
    x = 503,195.25

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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.