Finding the Third Proportional to 132,768 and 199,296
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Solution
The third proportional to 132,768 and 199,296 is: 299,160.16
Step by Step Solution
- Step 1: Write the proportion equation
132,768 : 199,296 = 199,296 : x - Step 2: Convert to fraction form
132,768/199,296 = 199,296/x - Step 3: Cross multiply
132,768x = 199,296 × 199,296 - Step 4: Simplify right side
132,768x = 39,718,895,616 - Step 5: Solve for x
x = 39,718,895,616/132,768 - Step 6: Final answer
x = 299,160.16
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.