Finding the Third Proportional to 144,470 and 313,968
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Solution
The third proportional to 144,470 and 313,968 is: 682,327.85
Step by Step Solution
- Step 1: Write the proportion equation
144,470 : 313,968 = 313,968 : x - Step 2: Convert to fraction form
144,470/313,968 = 313,968/x - Step 3: Cross multiply
144,470x = 313,968 × 313,968 - Step 4: Simplify right side
144,470x = 98,575,905,024 - Step 5: Solve for x
x = 98,575,905,024/144,470 - Step 6: Final answer
x = 682,327.85
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.