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Finding the Third Proportional to 243,824 and 365,736

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Solution

The third proportional to 243,824 and 365,736 is: 548,604

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,824 : 365,736 = 365,736 : x
  2. Step 2: Convert to fraction form
    243,824/365,736 = 365,736/x
  3. Step 3: Cross multiply
    243,824x = 365,736 × 365,736
  4. Step 4: Simplify right side
    243,824x = 133,762,821,696
  5. Step 5: Solve for x
    x = 133,762,821,696/243,824
  6. Step 6: Final answer
    x = 548,604

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.