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Finding the Third Proportional to 119,682 and 254,916

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Solution

The third proportional to 119,682 and 254,916 is: 542,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682 : 254,916 = 254,916 : x
  2. Step 2: Convert to fraction form
    119,682/254,916 = 254,916/x
  3. Step 3: Cross multiply
    119,682x = 254,916 × 254,916
  4. Step 4: Simplify right side
    119,682x = 64,982,167,056
  5. Step 5: Solve for x
    x = 64,982,167,056/119,682
  6. Step 6: Final answer
    x = 542,956.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.