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Finding the Third Proportional to 226,252 and 468,162

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Solution

The third proportional to 226,252 and 468,162 is: 968,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,252 : 468,162 = 468,162 : x
  2. Step 2: Convert to fraction form
    226,252/468,162 = 468,162/x
  3. Step 3: Cross multiply
    226,252x = 468,162 × 468,162
  4. Step 4: Simplify right side
    226,252x = 219,175,658,244
  5. Step 5: Solve for x
    x = 219,175,658,244/226,252
  6. Step 6: Final answer
    x = 968,723.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.