Finding the Third Proportional to 196,075 and 429,462
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Solution
The third proportional to 196,075 and 429,462 is: 940,648.27
Step by Step Solution
- Step 1: Write the proportion equation
196,075 : 429,462 = 429,462 : x - Step 2: Convert to fraction form
196,075/429,462 = 429,462/x - Step 3: Cross multiply
196,075x = 429,462 × 429,462 - Step 4: Simplify right side
196,075x = 184,437,609,444 - Step 5: Solve for x
x = 184,437,609,444/196,075 - Step 6: Final answer
x = 940,648.27
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.