Finding the Third Proportional to 121,728 and 262,896
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Solution
The third proportional to 121,728 and 262,896 is: 567,776.57
Step by Step Solution
- Step 1: Write the proportion equation
121,728 : 262,896 = 262,896 : x - Step 2: Convert to fraction form
121,728/262,896 = 262,896/x - Step 3: Cross multiply
121,728x = 262,896 × 262,896 - Step 4: Simplify right side
121,728x = 69,114,306,816 - Step 5: Solve for x
x = 69,114,306,816/121,728 - Step 6: Final answer
x = 567,776.57
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.