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Finding the Third Proportional to 179,244 and 267,906

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Solution

The third proportional to 179,244 and 267,906 is: 400,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,244 : 267,906 = 267,906 : x
  2. Step 2: Convert to fraction form
    179,244/267,906 = 267,906/x
  3. Step 3: Cross multiply
    179,244x = 267,906 × 267,906
  4. Step 4: Simplify right side
    179,244x = 71,773,624,836
  5. Step 5: Solve for x
    x = 71,773,624,836/179,244
  6. Step 6: Final answer
    x = 400,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.