Finding the Third Proportional to 119 and 208
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Solution
The third proportional to 119 and 208 is: 363.56
Step by Step Solution
- Step 1: Write the proportion equation
119 : 208 = 208 : x - Step 2: Convert to fraction form
119/208 = 208/x - Step 3: Cross multiply
119x = 208 × 208 - Step 4: Simplify right side
119x = 43,264 - Step 5: Solve for x
x = 43,264/119 - Step 6: Final answer
x = 363.56
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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.