Finding the Third Proportional to 142,160 and 301,814
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Solution
The third proportional to 142,160 and 301,814 is: 640,768.79
Step by Step Solution
- Step 1: Write the proportion equation
142,160 : 301,814 = 301,814 : x - Step 2: Convert to fraction form
142,160/301,814 = 301,814/x - Step 3: Cross multiply
142,160x = 301,814 × 301,814 - Step 4: Simplify right side
142,160x = 91,091,690,596 - Step 5: Solve for x
x = 91,091,690,596/142,160 - Step 6: Final answer
x = 640,768.79
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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.