Finding the Third Proportional to 350 and 400
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Solution
The third proportional to 350 and 400 is: 457.14
Step by Step Solution
- Step 1: Write the proportion equation
350 : 400 = 400 : x - Step 2: Convert to fraction form
350/400 = 400/x - Step 3: Cross multiply
350x = 400 × 400 - Step 4: Simplify right side
350x = 160,000 - Step 5: Solve for x
x = 160,000/350 - Step 6: Final answer
x = 457.14
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.