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Finding the Third Proportional to 232 and 283

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Solution

The third proportional to 232 and 283 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 283 = 283 : x
  2. Step 2: Convert to fraction form
    232/283 = 283/x
  3. Step 3: Cross multiply
    232x = 283 × 283
  4. Step 4: Simplify right side
    232x = 80,089
  5. Step 5: Solve for x
    x = 80,089/232
  6. Step 6: Final answer
    x = 345.21

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.