Finding the Third Proportional to 133,644 and 199,809
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Solution
The third proportional to 133,644 and 199,809 is: 298,731.23
Step by Step Solution
- Step 1: Write the proportion equation
133,644 : 199,809 = 199,809 : x - Step 2: Convert to fraction form
133,644/199,809 = 199,809/x - Step 3: Cross multiply
133,644x = 199,809 × 199,809 - Step 4: Simplify right side
133,644x = 39,923,636,481 - Step 5: Solve for x
x = 39,923,636,481/133,644 - Step 6: Final answer
x = 298,731.23
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.