Finding the Third Proportional to 176,378 and 416,282
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Solution
The third proportional to 176,378 and 416,282 is: 982,496.14
Step by Step Solution
- Step 1: Write the proportion equation
176,378 : 416,282 = 416,282 : x - Step 2: Convert to fraction form
176,378/416,282 = 416,282/x - Step 3: Cross multiply
176,378x = 416,282 × 416,282 - Step 4: Simplify right side
176,378x = 173,290,703,524 - Step 5: Solve for x
x = 173,290,703,524/176,378 - Step 6: Final answer
x = 982,496.14
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.