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Finding the Third Proportional to 182,096 and 397,400

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Solution

The third proportional to 182,096 and 397,400 is: 867,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,096 : 397,400 = 397,400 : x
  2. Step 2: Convert to fraction form
    182,096/397,400 = 397,400/x
  3. Step 3: Cross multiply
    182,096x = 397,400 × 397,400
  4. Step 4: Simplify right side
    182,096x = 157,926,760,000
  5. Step 5: Solve for x
    x = 157,926,760,000/182,096
  6. Step 6: Final answer
    x = 867,271.99

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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.