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Finding the Third Proportional to 232.19 and 493.81

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Solution

The third proportional to 232.19 and 493.81 is: 1,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 493.81 = 493.81 : x
  2. Step 2: Convert to fraction form
    232.19/493.81 = 493.81/x
  3. Step 3: Cross multiply
    232.19x = 493.81 × 493.81
  4. Step 4: Simplify right side
    232.19x = 243,850.79
  5. Step 5: Solve for x
    x = 243,850.79/232.19
  6. Step 6: Final answer
    x = 1,050.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.