Finding the Third Proportional to 242,280 and 565,920
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Solution
The third proportional to 242,280 and 565,920 is: 1,321,881.49
Step by Step Solution
- Step 1: Write the proportion equation
242,280 : 565,920 = 565,920 : x - Step 2: Convert to fraction form
242,280/565,920 = 565,920/x - Step 3: Cross multiply
242,280x = 565,920 × 565,920 - Step 4: Simplify right side
242,280x = 320,265,446,400 - Step 5: Solve for x
x = 320,265,446,400/242,280 - Step 6: Final answer
x = 1,321,881.49
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.