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Finding the Third Proportional to 164,013 and 355,227

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Solution

The third proportional to 164,013 and 355,227 is: 769,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,013 : 355,227 = 355,227 : x
  2. Step 2: Convert to fraction form
    164,013/355,227 = 355,227/x
  3. Step 3: Cross multiply
    164,013x = 355,227 × 355,227
  4. Step 4: Simplify right side
    164,013x = 126,186,221,529
  5. Step 5: Solve for x
    x = 126,186,221,529/164,013
  6. Step 6: Final answer
    x = 769,367.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.