Finding the Third Proportional to 177,824 and 275,256
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Solution
The third proportional to 177,824 and 275,256 is: 426,072.21
Step by Step Solution
- Step 1: Write the proportion equation
177,824 : 275,256 = 275,256 : x - Step 2: Convert to fraction form
177,824/275,256 = 275,256/x - Step 3: Cross multiply
177,824x = 275,256 × 275,256 - Step 4: Simplify right side
177,824x = 75,765,865,536 - Step 5: Solve for x
x = 75,765,865,536/177,824 - Step 6: Final answer
x = 426,072.21
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.