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Finding the Third Proportional to 223,575.75 and 334,512

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Solution

The third proportional to 223,575.75 and 334,512 is: 500,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,575.75 : 334,512 = 334,512 : x
  2. Step 2: Convert to fraction form
    223,575.75/334,512 = 334,512/x
  3. Step 3: Cross multiply
    223,575.75x = 334,512 × 334,512
  4. Step 4: Simplify right side
    223,575.75x = 111,898,278,144
  5. Step 5: Solve for x
    x = 111,898,278,144/223,575.75
  6. Step 6: Final answer
    x = 500,493.81

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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.