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Finding the Third Proportional to 105,450 and 227,028

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Solution

The third proportional to 105,450 and 227,028 is: 488,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,450 : 227,028 = 227,028 : x
  2. Step 2: Convert to fraction form
    105,450/227,028 = 227,028/x
  3. Step 3: Cross multiply
    105,450x = 227,028 × 227,028
  4. Step 4: Simplify right side
    105,450x = 51,541,712,784
  5. Step 5: Solve for x
    x = 51,541,712,784/105,450
  6. Step 6: Final answer
    x = 488,778.69

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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.