Finding the Third Proportional to 196,678 and 422,031
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Solution
The third proportional to 196,678 and 422,031 is: 905,592.72
Step by Step Solution
- Step 1: Write the proportion equation
196,678 : 422,031 = 422,031 : x - Step 2: Convert to fraction form
196,678/422,031 = 422,031/x - Step 3: Cross multiply
196,678x = 422,031 × 422,031 - Step 4: Simplify right side
196,678x = 178,110,164,961 - Step 5: Solve for x
x = 178,110,164,961/196,678 - Step 6: Final answer
x = 905,592.72
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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.