Finding the Third Proportional to 280 and 683.50
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Solution
The third proportional to 280 and 683.50 is: 1,668.47
Step by Step Solution
- Step 1: Write the proportion equation
280 : 683.50 = 683.50 : x - Step 2: Convert to fraction form
280/683.50 = 683.50/x - Step 3: Cross multiply
280x = 683.50 × 683.50 - Step 4: Simplify right side
280x = 467,172.25 - Step 5: Solve for x
x = 467,172.25/280 - Step 6: Final answer
x = 1,668.47
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Why These Related Problems?
These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.