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Finding the Third Proportional to 103,489 and 227,298

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Solution

The third proportional to 103,489 and 227,298 is: 499,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489 : 227,298 = 227,298 : x
  2. Step 2: Convert to fraction form
    103,489/227,298 = 227,298/x
  3. Step 3: Cross multiply
    103,489x = 227,298 × 227,298
  4. Step 4: Simplify right side
    103,489x = 51,664,380,804
  5. Step 5: Solve for x
    x = 51,664,380,804/103,489
  6. Step 6: Final answer
    x = 499,225.82

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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.