Finding the Third Proportional to 201,226 and 282,014
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Solution
The third proportional to 201,226 and 282,014 is: 395,236.68
Step by Step Solution
- Step 1: Write the proportion equation
201,226 : 282,014 = 282,014 : x - Step 2: Convert to fraction form
201,226/282,014 = 282,014/x - Step 3: Cross multiply
201,226x = 282,014 × 282,014 - Step 4: Simplify right side
201,226x = 79,531,896,196 - Step 5: Solve for x
x = 79,531,896,196/201,226 - Step 6: Final answer
x = 395,236.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.