Finding the Third Proportional to 157,648 and 231,864
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Solution
The third proportional to 157,648 and 231,864 is: 341,018.69
Step by Step Solution
- Step 1: Write the proportion equation
157,648 : 231,864 = 231,864 : x - Step 2: Convert to fraction form
157,648/231,864 = 231,864/x - Step 3: Cross multiply
157,648x = 231,864 × 231,864 - Step 4: Simplify right side
157,648x = 53,760,914,496 - Step 5: Solve for x
x = 53,760,914,496/157,648 - Step 6: Final answer
x = 341,018.69
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.