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Finding the Third Proportional to 223,575.75 and 332,325

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Solution

The third proportional to 223,575.75 and 332,325 is: 493,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,575.75 : 332,325 = 332,325 : x
  2. Step 2: Convert to fraction form
    223,575.75/332,325 = 332,325/x
  3. Step 3: Cross multiply
    223,575.75x = 332,325 × 332,325
  4. Step 4: Simplify right side
    223,575.75x = 110,439,905,625
  5. Step 5: Solve for x
    x = 110,439,905,625/223,575.75
  6. Step 6: Final answer
    x = 493,970.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.