Finding the Third Proportional to 200,078 and 472,303
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Solution
The third proportional to 200,078 and 472,303 is: 1,114,915.80
Step by Step Solution
- Step 1: Write the proportion equation
200,078 : 472,303 = 472,303 : x - Step 2: Convert to fraction form
200,078/472,303 = 472,303/x - Step 3: Cross multiply
200,078x = 472,303 × 472,303 - Step 4: Simplify right side
200,078x = 223,070,123,809 - Step 5: Solve for x
x = 223,070,123,809/200,078 - Step 6: Final answer
x = 1,114,915.80
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.