Finding the Third Proportional to 206,022 and 451,404
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Solution
The third proportional to 206,022 and 451,404 is: 989,047.63
Step by Step Solution
- Step 1: Write the proportion equation
206,022 : 451,404 = 451,404 : x - Step 2: Convert to fraction form
206,022/451,404 = 451,404/x - Step 3: Cross multiply
206,022x = 451,404 × 451,404 - Step 4: Simplify right side
206,022x = 203,765,571,216 - Step 5: Solve for x
x = 203,765,571,216/206,022 - Step 6: Final answer
x = 989,047.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.