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Finding the Third Proportional to 131,305 and 280,105

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Solution

The third proportional to 131,305 and 280,105 is: 597,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305 : 280,105 = 280,105 : x
  2. Step 2: Convert to fraction form
    131,305/280,105 = 280,105/x
  3. Step 3: Cross multiply
    131,305x = 280,105 × 280,105
  4. Step 4: Simplify right side
    131,305x = 78,458,811,025
  5. Step 5: Solve for x
    x = 78,458,811,025/131,305
  6. Step 6: Final answer
    x = 597,531.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.