Finding the Third Proportional to 142,164 and 301,822
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Solution
The third proportional to 142,164 and 301,822 is: 640,784.73
Step by Step Solution
- Step 1: Write the proportion equation
142,164 : 301,822 = 301,822 : x - Step 2: Convert to fraction form
142,164/301,822 = 301,822/x - Step 3: Cross multiply
142,164x = 301,822 × 301,822 - Step 4: Simplify right side
142,164x = 91,096,519,684 - Step 5: Solve for x
x = 91,096,519,684/142,164 - Step 6: Final answer
x = 640,784.73
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.