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Finding the Third Proportional to 267,680 and 367,060

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Solution

The third proportional to 267,680 and 367,060 is: 503,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,680 : 367,060 = 367,060 : x
  2. Step 2: Convert to fraction form
    267,680/367,060 = 367,060/x
  3. Step 3: Cross multiply
    267,680x = 367,060 × 367,060
  4. Step 4: Simplify right side
    267,680x = 134,733,043,600
  5. Step 5: Solve for x
    x = 134,733,043,600/267,680
  6. Step 6: Final answer
    x = 503,336.24

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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.