Finding the Third Proportional to 201,760 and 455,496
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Solution
The third proportional to 201,760 and 455,496 is: 1,028,333.69
Step by Step Solution
- Step 1: Write the proportion equation
201,760 : 455,496 = 455,496 : x - Step 2: Convert to fraction form
201,760/455,496 = 455,496/x - Step 3: Cross multiply
201,760x = 455,496 × 455,496 - Step 4: Simplify right side
201,760x = 207,476,606,016 - Step 5: Solve for x
x = 207,476,606,016/201,760 - Step 6: Final answer
x = 1,028,333.69
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.