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Finding the Third Proportional to 217,932 and 300,096

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Solution

The third proportional to 217,932 and 300,096 is: 413,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,932 : 300,096 = 300,096 : x
  2. Step 2: Convert to fraction form
    217,932/300,096 = 300,096/x
  3. Step 3: Cross multiply
    217,932x = 300,096 × 300,096
  4. Step 4: Simplify right side
    217,932x = 90,057,609,216
  5. Step 5: Solve for x
    x = 90,057,609,216/217,932
  6. Step 6: Final answer
    x = 413,237.20

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