Finding the Third Proportional to 214 and 318
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Solution
The third proportional to 214 and 318 is: 472.54
Step by Step Solution
- Step 1: Write the proportion equation
214 : 318 = 318 : x - Step 2: Convert to fraction form
214/318 = 318/x - Step 3: Cross multiply
214x = 318 × 318 - Step 4: Simplify right side
214x = 101,124 - Step 5: Solve for x
x = 101,124/214 - Step 6: Final answer
x = 472.54
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.