Finding the Third Proportional to 249.75 and 349.50
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Solution
The third proportional to 249.75 and 349.50 is: 489.09
Step by Step Solution
- Step 1: Write the proportion equation
249.75 : 349.50 = 349.50 : x - Step 2: Convert to fraction form
249.75/349.50 = 349.50/x - Step 3: Cross multiply
249.75x = 349.50 × 349.50 - Step 4: Simplify right side
249.75x = 122,150.25 - Step 5: Solve for x
x = 122,150.25/249.75 - Step 6: Final answer
x = 489.09
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.