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Finding the Third Proportional to 202.75 and 480.88

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Solution

The third proportional to 202.75 and 480.88 is: 1,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 480.88 = 480.88 : x
  2. Step 2: Convert to fraction form
    202.75/480.88 = 480.88/x
  3. Step 3: Cross multiply
    202.75x = 480.88 × 480.88
  4. Step 4: Simplify right side
    202.75x = 231,240.77
  5. Step 5: Solve for x
    x = 231,240.77/202.75
  6. Step 6: Final answer
    x = 1,140.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.