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Finding the Third Proportional to 267,138 and 416,025

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Solution

The third proportional to 267,138 and 416,025 is: 647,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,138 : 416,025 = 416,025 : x
  2. Step 2: Convert to fraction form
    267,138/416,025 = 416,025/x
  3. Step 3: Cross multiply
    267,138x = 416,025 × 416,025
  4. Step 4: Simplify right side
    267,138x = 173,076,800,625
  5. Step 5: Solve for x
    x = 173,076,800,625/267,138
  6. Step 6: Final answer
    x = 647,892.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.