Finding the Third Proportional to 205,050 and 275,907
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Solution
The third proportional to 205,050 and 275,907 is: 371,249.32
Step by Step Solution
- Step 1: Write the proportion equation
205,050 : 275,907 = 275,907 : x - Step 2: Convert to fraction form
205,050/275,907 = 275,907/x - Step 3: Cross multiply
205,050x = 275,907 × 275,907 - Step 4: Simplify right side
205,050x = 76,124,672,649 - Step 5: Solve for x
x = 76,124,672,649/205,050 - Step 6: Final answer
x = 371,249.32
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.