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Finding the Third Proportional to 113,852 and 241,204

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Solution

The third proportional to 113,852 and 241,204 is: 511,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,852 : 241,204 = 241,204 : x
  2. Step 2: Convert to fraction form
    113,852/241,204 = 241,204/x
  3. Step 3: Cross multiply
    113,852x = 241,204 × 241,204
  4. Step 4: Simplify right side
    113,852x = 58,179,369,616
  5. Step 5: Solve for x
    x = 58,179,369,616/113,852
  6. Step 6: Final answer
    x = 511,008.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.