Finding the Third Proportional to 166 and 406.50
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Solution
The third proportional to 166 and 406.50 is: 995.44
Step by Step Solution
- Step 1: Write the proportion equation
166 : 406.50 = 406.50 : x - Step 2: Convert to fraction form
166/406.50 = 406.50/x - Step 3: Cross multiply
166x = 406.50 × 406.50 - Step 4: Simplify right side
166x = 165,242.25 - Step 5: Solve for x
x = 165,242.25/166 - Step 6: Final answer
x = 995.44
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Why These Related Problems?
These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.