Finding the Third Proportional to 133,634 and 196,467
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Solution
The third proportional to 133,634 and 196,467 is: 288,843.27
Step by Step Solution
- Step 1: Write the proportion equation
133,634 : 196,467 = 196,467 : x - Step 2: Convert to fraction form
133,634/196,467 = 196,467/x - Step 3: Cross multiply
133,634x = 196,467 × 196,467 - Step 4: Simplify right side
133,634x = 38,599,282,089 - Step 5: Solve for x
x = 38,599,282,089/133,634 - Step 6: Final answer
x = 288,843.27
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.