Finding the Third Proportional to 119,202 and 271,764
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Solution
The third proportional to 119,202 and 271,764 is: 619,584.17
Step by Step Solution
- Step 1: Write the proportion equation
119,202 : 271,764 = 271,764 : x - Step 2: Convert to fraction form
119,202/271,764 = 271,764/x - Step 3: Cross multiply
119,202x = 271,764 × 271,764 - Step 4: Simplify right side
119,202x = 73,855,671,696 - Step 5: Solve for x
x = 73,855,671,696/119,202 - Step 6: Final answer
x = 619,584.17
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.