Finding the Third Proportional to 112 and 227.50
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Solution
The third proportional to 112 and 227.50 is: 462.11
Step by Step Solution
- Step 1: Write the proportion equation
112 : 227.50 = 227.50 : x - Step 2: Convert to fraction form
112/227.50 = 227.50/x - Step 3: Cross multiply
112x = 227.50 × 227.50 - Step 4: Simplify right side
112x = 51,756.25 - Step 5: Solve for x
x = 51,756.25/112 - Step 6: Final answer
x = 462.11
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.