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Finding the Third Proportional to 180,832 and 267,562

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Solution

The third proportional to 180,832 and 267,562 is: 395,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832 : 267,562 = 267,562 : x
  2. Step 2: Convert to fraction form
    180,832/267,562 = 267,562/x
  3. Step 3: Cross multiply
    180,832x = 267,562 × 267,562
  4. Step 4: Simplify right side
    180,832x = 71,589,423,844
  5. Step 5: Solve for x
    x = 71,589,423,844/180,832
  6. Step 6: Final answer
    x = 395,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.