Finding the Third Proportional to 177,000 and 382,176
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Solution
The third proportional to 177,000 and 382,176 is: 825,189.24
Step by Step Solution
- Step 1: Write the proportion equation
177,000 : 382,176 = 382,176 : x - Step 2: Convert to fraction form
177,000/382,176 = 382,176/x - Step 3: Cross multiply
177,000x = 382,176 × 382,176 - Step 4: Simplify right side
177,000x = 146,058,494,976 - Step 5: Solve for x
x = 146,058,494,976/177,000 - Step 6: Final answer
x = 825,189.24
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.