Finding the Third Proportional to 181,996 and 280,770
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Solution
The third proportional to 181,996 and 280,770 is: 433,151.24
Step by Step Solution
- Step 1: Write the proportion equation
181,996 : 280,770 = 280,770 : x - Step 2: Convert to fraction form
181,996/280,770 = 280,770/x - Step 3: Cross multiply
181,996x = 280,770 × 280,770 - Step 4: Simplify right side
181,996x = 78,831,792,900 - Step 5: Solve for x
x = 78,831,792,900/181,996 - Step 6: Final answer
x = 433,151.24
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.