Finding the Third Proportional to 242,112 and 400,128
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Solution
The third proportional to 242,112 and 400,128 is: 661,274.19
Step by Step Solution
- Step 1: Write the proportion equation
242,112 : 400,128 = 400,128 : x - Step 2: Convert to fraction form
242,112/400,128 = 400,128/x - Step 3: Cross multiply
242,112x = 400,128 × 400,128 - Step 4: Simplify right side
242,112x = 160,102,416,384 - Step 5: Solve for x
x = 160,102,416,384/242,112 - Step 6: Final answer
x = 661,274.19
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.