Finding the Third Proportional to 231.50 and 497
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Solution
The third proportional to 231.50 and 497 is: 1,066.99
Step by Step Solution
- Step 1: Write the proportion equation
231.50 : 497 = 497 : x - Step 2: Convert to fraction form
231.50/497 = 497/x - Step 3: Cross multiply
231.50x = 497 × 497 - Step 4: Simplify right side
231.50x = 247,009 - Step 5: Solve for x
x = 247,009/231.50 - Step 6: Final answer
x = 1,066.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.