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Finding the Third Proportional to 180,722 and 268,467

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Solution

The third proportional to 180,722 and 268,467 is: 398,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722 : 268,467 = 268,467 : x
  2. Step 2: Convert to fraction form
    180,722/268,467 = 268,467/x
  3. Step 3: Cross multiply
    180,722x = 268,467 × 268,467
  4. Step 4: Simplify right side
    180,722x = 72,074,530,089
  5. Step 5: Solve for x
    x = 72,074,530,089/180,722
  6. Step 6: Final answer
    x = 398,814.37

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