Finding the Third Proportional to 144,180 and 309,670
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Solution
The third proportional to 144,180 and 309,670 is: 665,109.65
Step by Step Solution
- Step 1: Write the proportion equation
144,180 : 309,670 = 309,670 : x - Step 2: Convert to fraction form
144,180/309,670 = 309,670/x - Step 3: Cross multiply
144,180x = 309,670 × 309,670 - Step 4: Simplify right side
144,180x = 95,895,508,900 - Step 5: Solve for x
x = 95,895,508,900/144,180 - Step 6: Final answer
x = 665,109.65
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.