Finding the Third Proportional to 194.50 and 227.50
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Solution
The third proportional to 194.50 and 227.50 is: 266.10
Step by Step Solution
- Step 1: Write the proportion equation
194.50 : 227.50 = 227.50 : x - Step 2: Convert to fraction form
194.50/227.50 = 227.50/x - Step 3: Cross multiply
194.50x = 227.50 × 227.50 - Step 4: Simplify right side
194.50x = 51,756.25 - Step 5: Solve for x
x = 51,756.25/194.50 - Step 6: Final answer
x = 266.10
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.