Finding the Third Proportional to 196 and 247
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Solution
The third proportional to 196 and 247 is: 311.27
Step by Step Solution
- Step 1: Write the proportion equation
196 : 247 = 247 : x - Step 2: Convert to fraction form
196/247 = 247/x - Step 3: Cross multiply
196x = 247 × 247 - Step 4: Simplify right side
196x = 61,009 - Step 5: Solve for x
x = 61,009/196 - Step 6: Final answer
x = 311.27
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Why These Related Problems?
These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.