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Finding the Third Proportional to 164,673 and 350,622

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Solution

The third proportional to 164,673 and 350,622 is: 746,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,673 : 350,622 = 350,622 : x
  2. Step 2: Convert to fraction form
    164,673/350,622 = 350,622/x
  3. Step 3: Cross multiply
    164,673x = 350,622 × 350,622
  4. Step 4: Simplify right side
    164,673x = 122,935,786,884
  5. Step 5: Solve for x
    x = 122,935,786,884/164,673
  6. Step 6: Final answer
    x = 746,544.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.