Finding the Third Proportional to 104.75 and 249.50
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Solution
The third proportional to 104.75 and 249.50 is: 594.27
Step by Step Solution
- Step 1: Write the proportion equation
104.75 : 249.50 = 249.50 : x - Step 2: Convert to fraction form
104.75/249.50 = 249.50/x - Step 3: Cross multiply
104.75x = 249.50 × 249.50 - Step 4: Simplify right side
104.75x = 62,250.25 - Step 5: Solve for x
x = 62,250.25/104.75 - Step 6: Final answer
x = 594.27
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.