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Finding the Third Proportional to 104,877 and 227,250

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Solution

The third proportional to 104,877 and 227,250 is: 492,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,877 : 227,250 = 227,250 : x
  2. Step 2: Convert to fraction form
    104,877/227,250 = 227,250/x
  3. Step 3: Cross multiply
    104,877x = 227,250 × 227,250
  4. Step 4: Simplify right side
    104,877x = 51,642,562,500
  5. Step 5: Solve for x
    x = 51,642,562,500/104,877
  6. Step 6: Final answer
    x = 492,410.75

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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.