Finding the Third Proportional to 178,179.75 and 384,207.75
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Solution
The third proportional to 178,179.75 and 384,207.75 is: 828,464.49
Step by Step Solution
- Step 1: Write the proportion equation
178,179.75 : 384,207.75 = 384,207.75 : x - Step 2: Convert to fraction form
178,179.75/384,207.75 = 384,207.75/x - Step 3: Cross multiply
178,179.75x = 384,207.75 × 384,207.75 - Step 4: Simplify right side
178,179.75x = 147,615,595,160.06 - Step 5: Solve for x
x = 147,615,595,160.06/178,179.75 - Step 6: Final answer
x = 828,464.49
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.