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Finding the Third Proportional to 150,228 and 211,305

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Solution

The third proportional to 150,228 and 211,305 is: 297,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 211,305 = 211,305 : x
  2. Step 2: Convert to fraction form
    150,228/211,305 = 211,305/x
  3. Step 3: Cross multiply
    150,228x = 211,305 × 211,305
  4. Step 4: Simplify right side
    150,228x = 44,649,803,025
  5. Step 5: Solve for x
    x = 44,649,803,025/150,228
  6. Step 6: Final answer
    x = 297,213.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.