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Finding the Third Proportional to 217,932 and 300,114

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Solution

The third proportional to 217,932 and 300,114 is: 413,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,932 : 300,114 = 300,114 : x
  2. Step 2: Convert to fraction form
    217,932/300,114 = 300,114/x
  3. Step 3: Cross multiply
    217,932x = 300,114 × 300,114
  4. Step 4: Simplify right side
    217,932x = 90,068,412,996
  5. Step 5: Solve for x
    x = 90,068,412,996/217,932
  6. Step 6: Final answer
    x = 413,286.77

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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.