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Finding the Third Proportional to 169,195.50 and 261,571.50

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Solution

The third proportional to 169,195.50 and 261,571.50 is: 404,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,195.50 : 261,571.50 = 261,571.50 : x
  2. Step 2: Convert to fraction form
    169,195.50/261,571.50 = 261,571.50/x
  3. Step 3: Cross multiply
    169,195.50x = 261,571.50 × 261,571.50
  4. Step 4: Simplify right side
    169,195.50x = 68,419,649,612.25
  5. Step 5: Solve for x
    x = 68,419,649,612.25/169,195.50
  6. Step 6: Final answer
    x = 404,382.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.