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Finding the Third Proportional to 226,251 and 468,161

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Solution

The third proportional to 226,251 and 468,161 is: 968,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,251 : 468,161 = 468,161 : x
  2. Step 2: Convert to fraction form
    226,251/468,161 = 468,161/x
  3. Step 3: Cross multiply
    226,251x = 468,161 × 468,161
  4. Step 4: Simplify right side
    226,251x = 219,174,721,921
  5. Step 5: Solve for x
    x = 219,174,721,921/226,251
  6. Step 6: Final answer
    x = 968,723.77

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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.