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Finding the Third Proportional to 215,626 and 308,760

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Solution

The third proportional to 215,626 and 308,760 is: 442,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,626 : 308,760 = 308,760 : x
  2. Step 2: Convert to fraction form
    215,626/308,760 = 308,760/x
  3. Step 3: Cross multiply
    215,626x = 308,760 × 308,760
  4. Step 4: Simplify right side
    215,626x = 95,332,737,600
  5. Step 5: Solve for x
    x = 95,332,737,600/215,626
  6. Step 6: Final answer
    x = 442,120.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.