Finding the Third Proportional to 196,106 and 423,314
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Solution
The third proportional to 196,106 and 423,314 is: 913,764.71
Step by Step Solution
- Step 1: Write the proportion equation
196,106 : 423,314 = 423,314 : x - Step 2: Convert to fraction form
196,106/423,314 = 423,314/x - Step 3: Cross multiply
196,106x = 423,314 × 423,314 - Step 4: Simplify right side
196,106x = 179,194,742,596 - Step 5: Solve for x
x = 179,194,742,596/196,106 - Step 6: Final answer
x = 913,764.71
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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.