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Finding the Third Proportional to 103,350 and 227,028

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Solution

The third proportional to 103,350 and 227,028 is: 498,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,350 : 227,028 = 227,028 : x
  2. Step 2: Convert to fraction form
    103,350/227,028 = 227,028/x
  3. Step 3: Cross multiply
    103,350x = 227,028 × 227,028
  4. Step 4: Simplify right side
    103,350x = 51,541,712,784
  5. Step 5: Solve for x
    x = 51,541,712,784/103,350
  6. Step 6: Final answer
    x = 498,710.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.