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Finding the Third Proportional to 216,600 and 323,104

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Solution

The third proportional to 216,600 and 323,104 is: 481,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,600 : 323,104 = 323,104 : x
  2. Step 2: Convert to fraction form
    216,600/323,104 = 323,104/x
  3. Step 3: Cross multiply
    216,600x = 323,104 × 323,104
  4. Step 4: Simplify right side
    216,600x = 104,396,194,816
  5. Step 5: Solve for x
    x = 104,396,194,816/216,600
  6. Step 6: Final answer
    x = 481,976.89

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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.