Finding the Third Proportional to 212,770 and 323,763
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Solution
The third proportional to 212,770 and 323,763 is: 492,656.30
Step by Step Solution
- Step 1: Write the proportion equation
212,770 : 323,763 = 323,763 : x - Step 2: Convert to fraction form
212,770/323,763 = 323,763/x - Step 3: Cross multiply
212,770x = 323,763 × 323,763 - Step 4: Simplify right side
212,770x = 104,822,480,169 - Step 5: Solve for x
x = 104,822,480,169/212,770 - Step 6: Final answer
x = 492,656.30
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.