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Finding the Third Proportional to 215,648 and 332,400

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Solution

The third proportional to 215,648 and 332,400 is: 512,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,648 : 332,400 = 332,400 : x
  2. Step 2: Convert to fraction form
    215,648/332,400 = 332,400/x
  3. Step 3: Cross multiply
    215,648x = 332,400 × 332,400
  4. Step 4: Simplify right side
    215,648x = 110,489,760,000
  5. Step 5: Solve for x
    x = 110,489,760,000/215,648
  6. Step 6: Final answer
    x = 512,361.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.