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Finding the Third Proportional to 267,551 and 366,880

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Solution

The third proportional to 267,551 and 366,880 is: 503,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,551 : 366,880 = 366,880 : x
  2. Step 2: Convert to fraction form
    267,551/366,880 = 366,880/x
  3. Step 3: Cross multiply
    267,551x = 366,880 × 366,880
  4. Step 4: Simplify right side
    267,551x = 134,600,934,400
  5. Step 5: Solve for x
    x = 134,600,934,400/267,551
  6. Step 6: Final answer
    x = 503,085.15

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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.