Finding the Third Proportional to 183.50 and 416.75
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Solution
The third proportional to 183.50 and 416.75 is: 946.49
Step by Step Solution
- Step 1: Write the proportion equation
183.50 : 416.75 = 416.75 : x - Step 2: Convert to fraction form
183.50/416.75 = 416.75/x - Step 3: Cross multiply
183.50x = 416.75 × 416.75 - Step 4: Simplify right side
183.50x = 173,680.56 - Step 5: Solve for x
x = 173,680.56/183.50 - Step 6: Final answer
x = 946.49
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.