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Finding the Third Proportional to 232 and 305.25

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Solution

The third proportional to 232 and 305.25 is: 401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 305.25 = 305.25 : x
  2. Step 2: Convert to fraction form
    232/305.25 = 305.25/x
  3. Step 3: Cross multiply
    232x = 305.25 × 305.25
  4. Step 4: Simplify right side
    232x = 93,177.56
  5. Step 5: Solve for x
    x = 93,177.56/232
  6. Step 6: Final answer
    x = 401.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.