Finding the Third Proportional to 190 and 214
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Solution
The third proportional to 190 and 214 is: 241.03
Step by Step Solution
- Step 1: Write the proportion equation
190 : 214 = 214 : x - Step 2: Convert to fraction form
190/214 = 214/x - Step 3: Cross multiply
190x = 214 × 214 - Step 4: Simplify right side
190x = 45,796 - Step 5: Solve for x
x = 45,796/190 - Step 6: Final answer
x = 241.03
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.