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Finding the Third Proportional to 217,869 and 300,018

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Solution

The third proportional to 217,869 and 300,018 is: 413,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,869 : 300,018 = 300,018 : x
  2. Step 2: Convert to fraction form
    217,869/300,018 = 300,018/x
  3. Step 3: Cross multiply
    217,869x = 300,018 × 300,018
  4. Step 4: Simplify right side
    217,869x = 90,010,800,324
  5. Step 5: Solve for x
    x = 90,010,800,324/217,869
  6. Step 6: Final answer
    x = 413,141.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.