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Finding the Third Proportional to 104,869.50 and 227,235

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Solution

The third proportional to 104,869.50 and 227,235 is: 492,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,869.50 : 227,235 = 227,235 : x
  2. Step 2: Convert to fraction form
    104,869.50/227,235 = 227,235/x
  3. Step 3: Cross multiply
    104,869.50x = 227,235 × 227,235
  4. Step 4: Simplify right side
    104,869.50x = 51,635,745,225
  5. Step 5: Solve for x
    x = 51,635,745,225/104,869.50
  6. Step 6: Final answer
    x = 492,380.96

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Why These Related Problems?

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