Finding the Third Proportional to 144,146 and 315,444
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Solution
The third proportional to 144,146 and 315,444 is: 690,306.47
Step by Step Solution
- Step 1: Write the proportion equation
144,146 : 315,444 = 315,444 : x - Step 2: Convert to fraction form
144,146/315,444 = 315,444/x - Step 3: Cross multiply
144,146x = 315,444 × 315,444 - Step 4: Simplify right side
144,146x = 99,504,917,136 - Step 5: Solve for x
x = 99,504,917,136/144,146 - Step 6: Final answer
x = 690,306.47
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.