Finding the Third Proportional to 100.50 and 203.75
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Solution
The third proportional to 100.50 and 203.75 is: 413.08
Step by Step Solution
- Step 1: Write the proportion equation
100.50 : 203.75 = 203.75 : x - Step 2: Convert to fraction form
100.50/203.75 = 203.75/x - Step 3: Cross multiply
100.50x = 203.75 × 203.75 - Step 4: Simplify right side
100.50x = 41,514.06 - Step 5: Solve for x
x = 41,514.06/100.50 - Step 6: Final answer
x = 413.08
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.