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Finding the Third Proportional to 233.69 and 482.56

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Solution

The third proportional to 233.69 and 482.56 is: 996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 482.56 = 482.56 : x
  2. Step 2: Convert to fraction form
    233.69/482.56 = 482.56/x
  3. Step 3: Cross multiply
    233.69x = 482.56 × 482.56
  4. Step 4: Simplify right side
    233.69x = 232,866.57
  5. Step 5: Solve for x
    x = 232,866.57/233.69
  6. Step 6: Final answer
    x = 996.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.