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Finding the Third Proportional to 74,180 and 164,945

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Solution

The third proportional to 74,180 and 164,945 is: 366,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180 : 164,945 = 164,945 : x
  2. Step 2: Convert to fraction form
    74,180/164,945 = 164,945/x
  3. Step 3: Cross multiply
    74,180x = 164,945 × 164,945
  4. Step 4: Simplify right side
    74,180x = 27,206,853,025
  5. Step 5: Solve for x
    x = 27,206,853,025/74,180
  6. Step 6: Final answer
    x = 366,768.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.