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Finding the Third Proportional to 169,571.63 and 269,924.25

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Solution

The third proportional to 169,571.63 and 269,924.25 is: 429,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,571.63 : 269,924.25 = 269,924.25 : x
  2. Step 2: Convert to fraction form
    169,571.63/269,924.25 = 269,924.25/x
  3. Step 3: Cross multiply
    169,571.63x = 269,924.25 × 269,924.25
  4. Step 4: Simplify right side
    169,571.63x = 72,859,100,738.06
  5. Step 5: Solve for x
    x = 72,859,100,738.06/169,571.63
  6. Step 6: Final answer
    x = 429,665.64

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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.