Finding the Third Proportional to 301,132 and 401,462
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Solution
The third proportional to 301,132 and 401,462 is: 535,219.56
Step by Step Solution
- Step 1: Write the proportion equation
301,132 : 401,462 = 401,462 : x - Step 2: Convert to fraction form
301,132/401,462 = 401,462/x - Step 3: Cross multiply
301,132x = 401,462 × 401,462 - Step 4: Simplify right side
301,132x = 161,171,737,444 - Step 5: Solve for x
x = 161,171,737,444/301,132 - Step 6: Final answer
x = 535,219.56
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.