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Finding the Third Proportional to 180,836 and 267,568

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Solution

The third proportional to 180,836 and 267,568 is: 395,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,836 : 267,568 = 267,568 : x
  2. Step 2: Convert to fraction form
    180,836/267,568 = 267,568/x
  3. Step 3: Cross multiply
    180,836x = 267,568 × 267,568
  4. Step 4: Simplify right side
    180,836x = 71,592,634,624
  5. Step 5: Solve for x
    x = 71,592,634,624/180,836
  6. Step 6: Final answer
    x = 395,898.13

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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.