Finding the Third Proportional to 209 and 251.50
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Solution
The third proportional to 209 and 251.50 is: 302.64
Step by Step Solution
- Step 1: Write the proportion equation
209 : 251.50 = 251.50 : x - Step 2: Convert to fraction form
209/251.50 = 251.50/x - Step 3: Cross multiply
209x = 251.50 × 251.50 - Step 4: Simplify right side
209x = 63,252.25 - Step 5: Solve for x
x = 63,252.25/209 - Step 6: Final answer
x = 302.64
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.