Finding the Third Proportional to 238,292 and 513,196
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Solution
The third proportional to 238,292 and 513,196 is: 1,105,241.19
Step by Step Solution
- Step 1: Write the proportion equation
238,292 : 513,196 = 513,196 : x - Step 2: Convert to fraction form
238,292/513,196 = 513,196/x - Step 3: Cross multiply
238,292x = 513,196 × 513,196 - Step 4: Simplify right side
238,292x = 263,370,134,416 - Step 5: Solve for x
x = 263,370,134,416/238,292 - Step 6: Final answer
x = 1,105,241.19
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.