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Finding the Third Proportional to 164,204 and 352,965

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Solution

The third proportional to 164,204 and 352,965 is: 758,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,204 : 352,965 = 352,965 : x
  2. Step 2: Convert to fraction form
    164,204/352,965 = 352,965/x
  3. Step 3: Cross multiply
    164,204x = 352,965 × 352,965
  4. Step 4: Simplify right side
    164,204x = 124,584,291,225
  5. Step 5: Solve for x
    x = 124,584,291,225/164,204
  6. Step 6: Final answer
    x = 758,716.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.