Finding the Third Proportional to 282 and 736.50
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Solution
The third proportional to 282 and 736.50 is: 1,923.52
Step by Step Solution
- Step 1: Write the proportion equation
282 : 736.50 = 736.50 : x - Step 2: Convert to fraction form
282/736.50 = 736.50/x - Step 3: Cross multiply
282x = 736.50 × 736.50 - Step 4: Simplify right side
282x = 542,432.25 - Step 5: Solve for x
x = 542,432.25/282 - Step 6: Final answer
x = 1,923.52
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.