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Finding the Third Proportional to 182,016 and 397,024

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Solution

The third proportional to 182,016 and 397,024 is: 866,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,016 : 397,024 = 397,024 : x
  2. Step 2: Convert to fraction form
    182,016/397,024 = 397,024/x
  3. Step 3: Cross multiply
    182,016x = 397,024 × 397,024
  4. Step 4: Simplify right side
    182,016x = 157,628,056,576
  5. Step 5: Solve for x
    x = 157,628,056,576/182,016
  6. Step 6: Final answer
    x = 866,012.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.