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Finding the Third Proportional to 180,842 and 267,577

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Solution

The third proportional to 180,842 and 267,577 is: 395,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,842 : 267,577 = 267,577 : x
  2. Step 2: Convert to fraction form
    180,842/267,577 = 267,577/x
  3. Step 3: Cross multiply
    180,842x = 267,577 × 267,577
  4. Step 4: Simplify right side
    180,842x = 71,597,450,929
  5. Step 5: Solve for x
    x = 71,597,450,929/180,842
  6. Step 6: Final answer
    x = 395,911.63

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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.