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Finding the Third Proportional to 215,228 and 500,150

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Solution

The third proportional to 215,228 and 500,150 is: 1,162,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,228 : 500,150 = 500,150 : x
  2. Step 2: Convert to fraction form
    215,228/500,150 = 500,150/x
  3. Step 3: Cross multiply
    215,228x = 500,150 × 500,150
  4. Step 4: Simplify right side
    215,228x = 250,150,022,500
  5. Step 5: Solve for x
    x = 250,150,022,500/215,228
  6. Step 6: Final answer
    x = 1,162,255.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.