Finding the Third Proportional to 102,232 and 222,464
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Solution
The third proportional to 102,232 and 222,464 is: 484,097.26
Step by Step Solution
- Step 1: Write the proportion equation
102,232 : 222,464 = 222,464 : x - Step 2: Convert to fraction form
102,232/222,464 = 222,464/x - Step 3: Cross multiply
102,232x = 222,464 × 222,464 - Step 4: Simplify right side
102,232x = 49,490,231,296 - Step 5: Solve for x
x = 49,490,231,296/102,232 - Step 6: Final answer
x = 484,097.26
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Half scale
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Double scale
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1.5x scale
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.