Finding the Third Proportional to 206,816 and 446,664
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Solution
The third proportional to 206,816 and 446,664 is: 964,667.77
Step by Step Solution
- Step 1: Write the proportion equation
206,816 : 446,664 = 446,664 : x - Step 2: Convert to fraction form
206,816/446,664 = 446,664/x - Step 3: Cross multiply
206,816x = 446,664 × 446,664 - Step 4: Simplify right side
206,816x = 199,508,728,896 - Step 5: Solve for x
x = 199,508,728,896/206,816 - Step 6: Final answer
x = 964,667.77
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.