Finding the Third Proportional to 216 and 234
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Solution
The third proportional to 216 and 234 is: 253.50
Step by Step Solution
- Step 1: Write the proportion equation
216 : 234 = 234 : x - Step 2: Convert to fraction form
216/234 = 234/x - Step 3: Cross multiply
216x = 234 × 234 - Step 4: Simplify right side
216x = 54,756 - Step 5: Solve for x
x = 54,756/216 - Step 6: Final answer
x = 253.50
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.