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Finding the Third Proportional to 217,890 and 300,046.50

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Solution

The third proportional to 217,890 and 300,046.50 is: 413,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,890 : 300,046.50 = 300,046.50 : x
  2. Step 2: Convert to fraction form
    217,890/300,046.50 = 300,046.50/x
  3. Step 3: Cross multiply
    217,890x = 300,046.50 × 300,046.50
  4. Step 4: Simplify right side
    217,890x = 90,027,902,162.25
  5. Step 5: Solve for x
    x = 90,027,902,162.25/217,890
  6. Step 6: Final answer
    x = 413,180.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.