Finding the Third Proportional to 122,738 and 257,764
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Solution
The third proportional to 122,738 and 257,764 is: 541,334.22
Step by Step Solution
- Step 1: Write the proportion equation
122,738 : 257,764 = 257,764 : x - Step 2: Convert to fraction form
122,738/257,764 = 257,764/x - Step 3: Cross multiply
122,738x = 257,764 × 257,764 - Step 4: Simplify right side
122,738x = 66,442,279,696 - Step 5: Solve for x
x = 66,442,279,696/122,738 - Step 6: Final answer
x = 541,334.22
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.