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Finding the Third Proportional to 169,744 and 369,925

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Solution

The third proportional to 169,744 and 369,925 is: 806,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,744 : 369,925 = 369,925 : x
  2. Step 2: Convert to fraction form
    169,744/369,925 = 369,925/x
  3. Step 3: Cross multiply
    169,744x = 369,925 × 369,925
  4. Step 4: Simplify right side
    169,744x = 136,844,505,625
  5. Step 5: Solve for x
    x = 136,844,505,625/169,744
  6. Step 6: Final answer
    x = 806,181.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.