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Finding the Third Proportional to 264,096 and 396,180

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Solution

The third proportional to 264,096 and 396,180 is: 594,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096 : 396,180 = 396,180 : x
  2. Step 2: Convert to fraction form
    264,096/396,180 = 396,180/x
  3. Step 3: Cross multiply
    264,096x = 396,180 × 396,180
  4. Step 4: Simplify right side
    264,096x = 156,958,592,400
  5. Step 5: Solve for x
    x = 156,958,592,400/264,096
  6. Step 6: Final answer
    x = 594,324.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.