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Finding the Third Proportional to 332,149.50 and 468,054

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Solution

The third proportional to 332,149.50 and 468,054 is: 659,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,149.50 : 468,054 = 468,054 : x
  2. Step 2: Convert to fraction form
    332,149.50/468,054 = 468,054/x
  3. Step 3: Cross multiply
    332,149.50x = 468,054 × 468,054
  4. Step 4: Simplify right side
    332,149.50x = 219,074,546,916
  5. Step 5: Solve for x
    x = 219,074,546,916/332,149.50
  6. Step 6: Final answer
    x = 659,566.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.