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Finding the Third Proportional to 233.38 and 512.38

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Solution

The third proportional to 233.38 and 512.38 is: 1,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 512.38 = 512.38 : x
  2. Step 2: Convert to fraction form
    233.38/512.38 = 512.38/x
  3. Step 3: Cross multiply
    233.38x = 512.38 × 512.38
  4. Step 4: Simplify right side
    233.38x = 262,528.14
  5. Step 5: Solve for x
    x = 262,528.14/233.38
  6. Step 6: Final answer
    x = 1,124.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.