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Finding the Third Proportional to 164,384 and 234,912

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Solution

The third proportional to 164,384 and 234,912 is: 335,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,384 : 234,912 = 234,912 : x
  2. Step 2: Convert to fraction form
    164,384/234,912 = 234,912/x
  3. Step 3: Cross multiply
    164,384x = 234,912 × 234,912
  4. Step 4: Simplify right side
    164,384x = 55,183,647,744
  5. Step 5: Solve for x
    x = 55,183,647,744/164,384
  6. Step 6: Final answer
    x = 335,699.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.