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Finding the Third Proportional to 223,704 and 335,736

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Solution

The third proportional to 223,704 and 335,736 is: 503,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,704 : 335,736 = 335,736 : x
  2. Step 2: Convert to fraction form
    223,704/335,736 = 335,736/x
  3. Step 3: Cross multiply
    223,704x = 335,736 × 335,736
  4. Step 4: Simplify right side
    223,704x = 112,718,661,696
  5. Step 5: Solve for x
    x = 112,718,661,696/223,704
  6. Step 6: Final answer
    x = 503,874.14

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