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Finding the Third Proportional to 240,096 and 515,183

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Solution

The third proportional to 240,096 and 515,183 is: 1,105,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,096 : 515,183 = 515,183 : x
  2. Step 2: Convert to fraction form
    240,096/515,183 = 515,183/x
  3. Step 3: Cross multiply
    240,096x = 515,183 × 515,183
  4. Step 4: Simplify right side
    240,096x = 265,413,523,489
  5. Step 5: Solve for x
    x = 265,413,523,489/240,096
  6. Step 6: Final answer
    x = 1,105,447.50

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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.