Finding the Third Proportional to 130,384 and 196,824
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Solution
The third proportional to 130,384 and 196,824 is: 297,119.95
Step by Step Solution
- Step 1: Write the proportion equation
130,384 : 196,824 = 196,824 : x - Step 2: Convert to fraction form
130,384/196,824 = 196,824/x - Step 3: Cross multiply
130,384x = 196,824 × 196,824 - Step 4: Simplify right side
130,384x = 38,739,686,976 - Step 5: Solve for x
x = 38,739,686,976/130,384 - Step 6: Final answer
x = 297,119.95
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.