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Finding the Third Proportional to 236.99 and 519.54

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Solution

The third proportional to 236.99 and 519.54 is: 1,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.99 : 519.54 = 519.54 : x
  2. Step 2: Convert to fraction form
    236.99/519.54 = 519.54/x
  3. Step 3: Cross multiply
    236.99x = 519.54 × 519.54
  4. Step 4: Simplify right side
    236.99x = 269,920.84
  5. Step 5: Solve for x
    x = 269,920.84/236.99
  6. Step 6: Final answer
    x = 1,138.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.