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Finding the Third Proportional to 223,937 and 335,764

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Solution

The third proportional to 223,937 and 335,764 is: 503,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,937 : 335,764 = 335,764 : x
  2. Step 2: Convert to fraction form
    223,937/335,764 = 335,764/x
  3. Step 3: Cross multiply
    223,937x = 335,764 × 335,764
  4. Step 4: Simplify right side
    223,937x = 112,737,463,696
  5. Step 5: Solve for x
    x = 112,737,463,696/223,937
  6. Step 6: Final answer
    x = 503,433.84

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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.