Finding the Third Proportional to 202,670 and 451,942
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Solution
The third proportional to 202,670 and 451,942 is: 1,007,803.68
Step by Step Solution
- Step 1: Write the proportion equation
202,670 : 451,942 = 451,942 : x - Step 2: Convert to fraction form
202,670/451,942 = 451,942/x - Step 3: Cross multiply
202,670x = 451,942 × 451,942 - Step 4: Simplify right side
202,670x = 204,251,571,364 - Step 5: Solve for x
x = 204,251,571,364/202,670 - Step 6: Final answer
x = 1,007,803.68
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.