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Finding the Third Proportional to 164,759 and 248,961

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Solution

The third proportional to 164,759 and 248,961 is: 376,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,759 : 248,961 = 248,961 : x
  2. Step 2: Convert to fraction form
    164,759/248,961 = 248,961/x
  3. Step 3: Cross multiply
    164,759x = 248,961 × 248,961
  4. Step 4: Simplify right side
    164,759x = 61,981,579,521
  5. Step 5: Solve for x
    x = 61,981,579,521/164,759
  6. Step 6: Final answer
    x = 376,195.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.