Finding the Third Proportional to 381 and 571.50
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Solution
The third proportional to 381 and 571.50 is: 857.25
Step by Step Solution
- Step 1: Write the proportion equation
381 : 571.50 = 571.50 : x - Step 2: Convert to fraction form
381/571.50 = 571.50/x - Step 3: Cross multiply
381x = 571.50 × 571.50 - Step 4: Simplify right side
381x = 326,612.25 - Step 5: Solve for x
x = 326,612.25/381 - Step 6: Final answer
x = 857.25
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.