Finding the Third Proportional to 122,470 and 269,032
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Solution
The third proportional to 122,470 and 269,032 is: 590,987.32
Step by Step Solution
- Step 1: Write the proportion equation
122,470 : 269,032 = 269,032 : x - Step 2: Convert to fraction form
122,470/269,032 = 269,032/x - Step 3: Cross multiply
122,470x = 269,032 × 269,032 - Step 4: Simplify right side
122,470x = 72,378,217,024 - Step 5: Solve for x
x = 72,378,217,024/122,470 - Step 6: Final answer
x = 590,987.32
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.