Finding the Third Proportional to 211 and 233.50
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Solution
The third proportional to 211 and 233.50 is: 258.40
Step by Step Solution
- Step 1: Write the proportion equation
211 : 233.50 = 233.50 : x - Step 2: Convert to fraction form
211/233.50 = 233.50/x - Step 3: Cross multiply
211x = 233.50 × 233.50 - Step 4: Simplify right side
211x = 54,522.25 - Step 5: Solve for x
x = 54,522.25/211 - Step 6: Final answer
x = 258.40
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.