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Finding the Third Proportional to 74,180 and 164,946

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Solution

The third proportional to 74,180 and 164,946 is: 366,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180 : 164,946 = 164,946 : x
  2. Step 2: Convert to fraction form
    74,180/164,946 = 164,946/x
  3. Step 3: Cross multiply
    74,180x = 164,946 × 164,946
  4. Step 4: Simplify right side
    74,180x = 27,207,182,916
  5. Step 5: Solve for x
    x = 27,207,182,916/74,180
  6. Step 6: Final answer
    x = 366,772.48

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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.