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Finding the Third Proportional to 180,821 and 267,546

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Solution

The third proportional to 180,821 and 267,546 is: 395,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,821 : 267,546 = 267,546 : x
  2. Step 2: Convert to fraction form
    180,821/267,546 = 267,546/x
  3. Step 3: Cross multiply
    180,821x = 267,546 × 267,546
  4. Step 4: Simplify right side
    180,821x = 71,580,862,116
  5. Step 5: Solve for x
    x = 71,580,862,116/180,821
  6. Step 6: Final answer
    x = 395,865.87

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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.