Finding the Third Proportional to 171,024.75 and 257,563.13
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Solution
The third proportional to 171,024.75 and 257,563.13 is: 387,889.84
Step by Step Solution
- Step 1: Write the proportion equation
171,024.75 : 257,563.13 = 257,563.13 : x - Step 2: Convert to fraction form
171,024.75/257,563.13 = 257,563.13/x - Step 3: Cross multiply
171,024.75x = 257,563.13 × 257,563.13 - Step 4: Simplify right side
171,024.75x = 66,338,763,359.77 - Step 5: Solve for x
x = 66,338,763,359.77/171,024.75 - Step 6: Final answer
x = 387,889.84
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.