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Finding the Third Proportional to 204.19 and 480.52

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Solution

The third proportional to 204.19 and 480.52 is: 1,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 480.52 = 480.52 : x
  2. Step 2: Convert to fraction form
    204.19/480.52 = 480.52/x
  3. Step 3: Cross multiply
    204.19x = 480.52 × 480.52
  4. Step 4: Simplify right side
    204.19x = 230,895.27
  5. Step 5: Solve for x
    x = 230,895.27/204.19
  6. Step 6: Final answer
    x = 1,130.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.