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Finding the Third Proportional to 169,907.75 and 269,928.75

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Solution

The third proportional to 169,907.75 and 269,928.75 is: 428,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,907.75 : 269,928.75 = 269,928.75 : x
  2. Step 2: Convert to fraction form
    169,907.75/269,928.75 = 269,928.75/x
  3. Step 3: Cross multiply
    169,907.75x = 269,928.75 × 269,928.75
  4. Step 4: Simplify right side
    169,907.75x = 72,861,530,076.56
  5. Step 5: Solve for x
    x = 72,861,530,076.56/169,907.75
  6. Step 6: Final answer
    x = 428,829.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.