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Finding the Third Proportional to 114,204 and 245,906

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Solution

The third proportional to 114,204 and 245,906 is: 529,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,204 : 245,906 = 245,906 : x
  2. Step 2: Convert to fraction form
    114,204/245,906 = 245,906/x
  3. Step 3: Cross multiply
    114,204x = 245,906 × 245,906
  4. Step 4: Simplify right side
    114,204x = 60,469,760,836
  5. Step 5: Solve for x
    x = 60,469,760,836/114,204
  6. Step 6: Final answer
    x = 529,488.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.