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Finding the Third Proportional to 180,846 and 267,583

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Solution

The third proportional to 180,846 and 267,583 is: 395,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846 : 267,583 = 267,583 : x
  2. Step 2: Convert to fraction form
    180,846/267,583 = 267,583/x
  3. Step 3: Cross multiply
    180,846x = 267,583 × 267,583
  4. Step 4: Simplify right side
    180,846x = 71,600,661,889
  5. Step 5: Solve for x
    x = 71,600,661,889/180,846
  6. Step 6: Final answer
    x = 395,920.63

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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.