Finding the Third Proportional to 218 and 512
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Solution
The third proportional to 218 and 512 is: 1,202.50
Step by Step Solution
- Step 1: Write the proportion equation
218 : 512 = 512 : x - Step 2: Convert to fraction form
218/512 = 512/x - Step 3: Cross multiply
218x = 512 × 512 - Step 4: Simplify right side
218x = 262,144 - Step 5: Solve for x
x = 262,144/218 - Step 6: Final answer
x = 1,202.50
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.