Finding the Third Proportional to 199,076 and 433,144
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Solution
The third proportional to 199,076 and 433,144 is: 942,422.62
Step by Step Solution
- Step 1: Write the proportion equation
199,076 : 433,144 = 433,144 : x - Step 2: Convert to fraction form
199,076/433,144 = 433,144/x - Step 3: Cross multiply
199,076x = 433,144 × 433,144 - Step 4: Simplify right side
199,076x = 187,613,724,736 - Step 5: Solve for x
x = 187,613,724,736/199,076 - Step 6: Final answer
x = 942,422.62
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.