Finding the Third Proportional to 163,942 and 338,106
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Solution
The third proportional to 163,942 and 338,106 is: 697,293.36
Step by Step Solution
- Step 1: Write the proportion equation
163,942 : 338,106 = 338,106 : x - Step 2: Convert to fraction form
163,942/338,106 = 338,106/x - Step 3: Cross multiply
163,942x = 338,106 × 338,106 - Step 4: Simplify right side
163,942x = 114,315,667,236 - Step 5: Solve for x
x = 114,315,667,236/163,942 - Step 6: Final answer
x = 697,293.36
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.