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Finding the Third Proportional to 233.50 and 283.75

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Solution

The third proportional to 233.50 and 283.75 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 283.75 = 283.75 : x
  2. Step 2: Convert to fraction form
    233.50/283.75 = 283.75/x
  3. Step 3: Cross multiply
    233.50x = 283.75 × 283.75
  4. Step 4: Simplify right side
    233.50x = 80,514.06
  5. Step 5: Solve for x
    x = 80,514.06/233.50
  6. Step 6: Final answer
    x = 344.81

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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.