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Finding the Third Proportional to 103,869 and 227,502

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Solution

The third proportional to 103,869 and 227,502 is: 498,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,869 : 227,502 = 227,502 : x
  2. Step 2: Convert to fraction form
    103,869/227,502 = 227,502/x
  3. Step 3: Cross multiply
    103,869x = 227,502 × 227,502
  4. Step 4: Simplify right side
    103,869x = 51,757,160,004
  5. Step 5: Solve for x
    x = 51,757,160,004/103,869
  6. Step 6: Final answer
    x = 498,292.66

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Why These Related Problems?

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