Finding the Third Proportional to 142,159.50 and 304,002
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Solution
The third proportional to 142,159.50 and 304,002 is: 650,095.25
Step by Step Solution
- Step 1: Write the proportion equation
142,159.50 : 304,002 = 304,002 : x - Step 2: Convert to fraction form
142,159.50/304,002 = 304,002/x - Step 3: Cross multiply
142,159.50x = 304,002 × 304,002 - Step 4: Simplify right side
142,159.50x = 92,417,216,004 - Step 5: Solve for x
x = 92,417,216,004/142,159.50 - Step 6: Final answer
x = 650,095.25
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.