Finding the Third Proportional to 150,542 and 205,053
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Solution
The third proportional to 150,542 and 205,053 is: 279,302.34
Step by Step Solution
- Step 1: Write the proportion equation
150,542 : 205,053 = 205,053 : x - Step 2: Convert to fraction form
150,542/205,053 = 205,053/x - Step 3: Cross multiply
150,542x = 205,053 × 205,053 - Step 4: Simplify right side
150,542x = 42,046,732,809 - Step 5: Solve for x
x = 42,046,732,809/150,542 - Step 6: Final answer
x = 279,302.34
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.