Finding the Third Proportional to 201,241 and 419,018
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Solution
The third proportional to 201,241 and 419,018 is: 872,466.77
Step by Step Solution
- Step 1: Write the proportion equation
201,241 : 419,018 = 419,018 : x - Step 2: Convert to fraction form
201,241/419,018 = 419,018/x - Step 3: Cross multiply
201,241x = 419,018 × 419,018 - Step 4: Simplify right side
201,241x = 175,576,084,324 - Step 5: Solve for x
x = 175,576,084,324/201,241 - Step 6: Final answer
x = 872,466.77
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.