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Finding the Third Proportional to 179,982 and 268,515

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Solution

The third proportional to 179,982 and 268,515 is: 400,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,982 : 268,515 = 268,515 : x
  2. Step 2: Convert to fraction form
    179,982/268,515 = 268,515/x
  3. Step 3: Cross multiply
    179,982x = 268,515 × 268,515
  4. Step 4: Simplify right side
    179,982x = 72,100,305,225
  5. Step 5: Solve for x
    x = 72,100,305,225/179,982
  6. Step 6: Final answer
    x = 400,597.31

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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.