Finding the Third Proportional to 199,308 and 299,784
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Solution
The third proportional to 199,308 and 299,784 is: 450,912.39
Step by Step Solution
- Step 1: Write the proportion equation
199,308 : 299,784 = 299,784 : x - Step 2: Convert to fraction form
199,308/299,784 = 299,784/x - Step 3: Cross multiply
199,308x = 299,784 × 299,784 - Step 4: Simplify right side
199,308x = 89,870,446,656 - Step 5: Solve for x
x = 89,870,446,656/199,308 - Step 6: Final answer
x = 450,912.39
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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.