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Finding the Third Proportional to 131,662 and 283,305

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Solution

The third proportional to 131,662 and 283,305 is: 609,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,662 : 283,305 = 283,305 : x
  2. Step 2: Convert to fraction form
    131,662/283,305 = 283,305/x
  3. Step 3: Cross multiply
    131,662x = 283,305 × 283,305
  4. Step 4: Simplify right side
    131,662x = 80,261,723,025
  5. Step 5: Solve for x
    x = 80,261,723,025/131,662
  6. Step 6: Final answer
    x = 609,604.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.