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Finding the Third Proportional to 104,052 and 227,928

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Solution

The third proportional to 104,052 and 227,928 is: 499,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,052 : 227,928 = 227,928 : x
  2. Step 2: Convert to fraction form
    104,052/227,928 = 227,928/x
  3. Step 3: Cross multiply
    104,052x = 227,928 × 227,928
  4. Step 4: Simplify right side
    104,052x = 51,951,173,184
  5. Step 5: Solve for x
    x = 51,951,173,184/104,052
  6. Step 6: Final answer
    x = 499,280.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.