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Finding the Third Proportional to 69,452.44 and 162,286.03

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Solution

The third proportional to 69,452.44 and 162,286.03 is: 379,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452.44 : 162,286.03 = 162,286.03 : x
  2. Step 2: Convert to fraction form
    69,452.44/162,286.03 = 162,286.03/x
  3. Step 3: Cross multiply
    69,452.44x = 162,286.03 × 162,286.03
  4. Step 4: Simplify right side
    69,452.44x = 26,336,755,938.88
  5. Step 5: Solve for x
    x = 26,336,755,938.88/69,452.44
  6. Step 6: Final answer
    x = 379,205.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.