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Finding the Third Proportional to 226,736 and 333,176

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Solution

The third proportional to 226,736 and 333,176 is: 489,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,736 : 333,176 = 333,176 : x
  2. Step 2: Convert to fraction form
    226,736/333,176 = 333,176/x
  3. Step 3: Cross multiply
    226,736x = 333,176 × 333,176
  4. Step 4: Simplify right side
    226,736x = 111,006,246,976
  5. Step 5: Solve for x
    x = 111,006,246,976/226,736
  6. Step 6: Final answer
    x = 489,583.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.