Finding the Third Proportional to 210 and 234
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Solution
The third proportional to 210 and 234 is: 260.74
Step by Step Solution
- Step 1: Write the proportion equation
210 : 234 = 234 : x - Step 2: Convert to fraction form
210/234 = 234/x - Step 3: Cross multiply
210x = 234 × 234 - Step 4: Simplify right side
210x = 54,756 - Step 5: Solve for x
x = 54,756/210 - Step 6: Final answer
x = 260.74
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.