Finding the Third Proportional to 242,997 and 342,042
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Solution
The third proportional to 242,997 and 342,042 is: 481,457.51
Step by Step Solution
- Step 1: Write the proportion equation
242,997 : 342,042 = 342,042 : x - Step 2: Convert to fraction form
242,997/342,042 = 342,042/x - Step 3: Cross multiply
242,997x = 342,042 × 342,042 - Step 4: Simplify right side
242,997x = 116,992,729,764 - Step 5: Solve for x
x = 116,992,729,764/242,997 - Step 6: Final answer
x = 481,457.51
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.