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Finding the Third Proportional to 233.25 and 531.38

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Solution

The third proportional to 233.25 and 531.38 is: 1,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 531.38 = 531.38 : x
  2. Step 2: Convert to fraction form
    233.25/531.38 = 531.38/x
  3. Step 3: Cross multiply
    233.25x = 531.38 × 531.38
  4. Step 4: Simplify right side
    233.25x = 282,359.39
  5. Step 5: Solve for x
    x = 282,359.39/233.25
  6. Step 6: Final answer
    x = 1,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.