Finding the Third Proportional to 242,916 and 533,659
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Solution
The third proportional to 242,916 and 533,659 is: 1,172,388.51
Step by Step Solution
- Step 1: Write the proportion equation
242,916 : 533,659 = 533,659 : x - Step 2: Convert to fraction form
242,916/533,659 = 533,659/x - Step 3: Cross multiply
242,916x = 533,659 × 533,659 - Step 4: Simplify right side
242,916x = 284,791,928,281 - Step 5: Solve for x
x = 284,791,928,281/242,916 - Step 6: Final answer
x = 1,172,388.51
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.