Finding the Third Proportional to 200,192 and 436,096
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Solution
The third proportional to 200,192 and 436,096 is: 949,986.62
Step by Step Solution
- Step 1: Write the proportion equation
200,192 : 436,096 = 436,096 : x - Step 2: Convert to fraction form
200,192/436,096 = 436,096/x - Step 3: Cross multiply
200,192x = 436,096 × 436,096 - Step 4: Simplify right side
200,192x = 190,179,721,216 - Step 5: Solve for x
x = 190,179,721,216/200,192 - Step 6: Final answer
x = 949,986.62
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.