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Finding the Third Proportional to 128,769.75 and 279,705.09

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Solution

The third proportional to 128,769.75 and 279,705.09 is: 607,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769.75 : 279,705.09 = 279,705.09 : x
  2. Step 2: Convert to fraction form
    128,769.75/279,705.09 = 279,705.09/x
  3. Step 3: Cross multiply
    128,769.75x = 279,705.09 × 279,705.09
  4. Step 4: Simplify right side
    128,769.75x = 78,234,939,469.70
  5. Step 5: Solve for x
    x = 78,234,939,469.70/128,769.75
  6. Step 6: Final answer
    x = 607,556.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.