Finding the Third Proportional to 164,210 and 353,742
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Solution
The third proportional to 164,210 and 353,742 is: 762,032.78
Step by Step Solution
- Step 1: Write the proportion equation
164,210 : 353,742 = 353,742 : x - Step 2: Convert to fraction form
164,210/353,742 = 353,742/x - Step 3: Cross multiply
164,210x = 353,742 × 353,742 - Step 4: Simplify right side
164,210x = 125,133,402,564 - Step 5: Solve for x
x = 125,133,402,564/164,210 - Step 6: Final answer
x = 762,032.78
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.