Finding the Third Proportional to 150,411 and 200,493
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Solution
The third proportional to 150,411 and 200,493 is: 267,250.69
Step by Step Solution
- Step 1: Write the proportion equation
150,411 : 200,493 = 200,493 : x - Step 2: Convert to fraction form
150,411/200,493 = 200,493/x - Step 3: Cross multiply
150,411x = 200,493 × 200,493 - Step 4: Simplify right side
150,411x = 40,197,443,049 - Step 5: Solve for x
x = 40,197,443,049/150,411 - Step 6: Final answer
x = 267,250.69
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.