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Finding the Third Proportional to 169,539.75 and 256,493.25

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Solution

The third proportional to 169,539.75 and 256,493.25 is: 388,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,539.75 : 256,493.25 = 256,493.25 : x
  2. Step 2: Convert to fraction form
    169,539.75/256,493.25 = 256,493.25/x
  3. Step 3: Cross multiply
    169,539.75x = 256,493.25 × 256,493.25
  4. Step 4: Simplify right side
    169,539.75x = 65,788,787,295.56
  5. Step 5: Solve for x
    x = 65,788,787,295.56/169,539.75
  6. Step 6: Final answer
    x = 388,043.44

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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.