Finding the Third Proportional to 242,337 and 402,489
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Solution
The third proportional to 242,337 and 402,489 is: 668,479.82
Step by Step Solution
- Step 1: Write the proportion equation
242,337 : 402,489 = 402,489 : x - Step 2: Convert to fraction form
242,337/402,489 = 402,489/x - Step 3: Cross multiply
242,337x = 402,489 × 402,489 - Step 4: Simplify right side
242,337x = 161,997,395,121 - Step 5: Solve for x
x = 161,997,395,121/242,337 - Step 6: Final answer
x = 668,479.82
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Why These Related Problems?
These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.