Finding the Third Proportional to 130,164 and 284,196
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Solution
The third proportional to 130,164 and 284,196 is: 620,504.64
Step by Step Solution
- Step 1: Write the proportion equation
130,164 : 284,196 = 284,196 : x - Step 2: Convert to fraction form
130,164/284,196 = 284,196/x - Step 3: Cross multiply
130,164x = 284,196 × 284,196 - Step 4: Simplify right side
130,164x = 80,767,366,416 - Step 5: Solve for x
x = 80,767,366,416/130,164 - Step 6: Final answer
x = 620,504.64
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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.