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Finding the Third Proportional to 228,847.50 and 332,883

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Solution

The third proportional to 228,847.50 and 332,883 is: 484,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,847.50 : 332,883 = 332,883 : x
  2. Step 2: Convert to fraction form
    228,847.50/332,883 = 332,883/x
  3. Step 3: Cross multiply
    228,847.50x = 332,883 × 332,883
  4. Step 4: Simplify right side
    228,847.50x = 110,811,091,689
  5. Step 5: Solve for x
    x = 110,811,091,689/228,847.50
  6. Step 6: Final answer
    x = 484,213.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.