Finding the Third Proportional to 177,378 and 410,214
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Solution
The third proportional to 177,378 and 410,214 is: 948,683.18
Step by Step Solution
- Step 1: Write the proportion equation
177,378 : 410,214 = 410,214 : x - Step 2: Convert to fraction form
177,378/410,214 = 410,214/x - Step 3: Cross multiply
177,378x = 410,214 × 410,214 - Step 4: Simplify right side
177,378x = 168,275,525,796 - Step 5: Solve for x
x = 168,275,525,796/177,378 - Step 6: Final answer
x = 948,683.18
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.