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Finding the Third Proportional to 215,103 and 332,896.50

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Solution

The third proportional to 215,103 and 332,896.50 is: 515,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,103 : 332,896.50 = 332,896.50 : x
  2. Step 2: Convert to fraction form
    215,103/332,896.50 = 332,896.50/x
  3. Step 3: Cross multiply
    215,103x = 332,896.50 × 332,896.50
  4. Step 4: Simplify right side
    215,103x = 110,820,079,712.25
  5. Step 5: Solve for x
    x = 110,820,079,712.25/215,103
  6. Step 6: Final answer
    x = 515,195.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.