Finding the Third Proportional to 132,864 and 197,404
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Solution
The third proportional to 132,864 and 197,404 is: 293,294.94
Step by Step Solution
- Step 1: Write the proportion equation
132,864 : 197,404 = 197,404 : x - Step 2: Convert to fraction form
132,864/197,404 = 197,404/x - Step 3: Cross multiply
132,864x = 197,404 × 197,404 - Step 4: Simplify right side
132,864x = 38,968,339,216 - Step 5: Solve for x
x = 38,968,339,216/132,864 - Step 6: Final answer
x = 293,294.94
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.