Finding the Third Proportional to 208,285 and 431,338
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Solution
The third proportional to 208,285 and 431,338 is: 893,259.09
Step by Step Solution
- Step 1: Write the proportion equation
208,285 : 431,338 = 431,338 : x - Step 2: Convert to fraction form
208,285/431,338 = 431,338/x - Step 3: Cross multiply
208,285x = 431,338 × 431,338 - Step 4: Simplify right side
208,285x = 186,052,470,244 - Step 5: Solve for x
x = 186,052,470,244/208,285 - Step 6: Final answer
x = 893,259.09
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.