Finding the Third Proportional to 242,724 and 532,104
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Solution
The third proportional to 242,724 and 532,104 is: 1,166,488.14
Step by Step Solution
- Step 1: Write the proportion equation
242,724 : 532,104 = 532,104 : x - Step 2: Convert to fraction form
242,724/532,104 = 532,104/x - Step 3: Cross multiply
242,724x = 532,104 × 532,104 - Step 4: Simplify right side
242,724x = 283,134,666,816 - Step 5: Solve for x
x = 283,134,666,816/242,724 - Step 6: Final answer
x = 1,166,488.14
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.