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Finding the Third Proportional to 188,869 and 410,945

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Solution

The third proportional to 188,869 and 410,945 is: 894,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,869 : 410,945 = 410,945 : x
  2. Step 2: Convert to fraction form
    188,869/410,945 = 410,945/x
  3. Step 3: Cross multiply
    188,869x = 410,945 × 410,945
  4. Step 4: Simplify right side
    188,869x = 168,875,793,025
  5. Step 5: Solve for x
    x = 168,875,793,025/188,869
  6. Step 6: Final answer
    x = 894,142.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.