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Finding the Third Proportional to 235.41 and 482.20

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Solution

The third proportional to 235.41 and 482.20 is: 987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 482.20 = 482.20 : x
  2. Step 2: Convert to fraction form
    235.41/482.20 = 482.20/x
  3. Step 3: Cross multiply
    235.41x = 482.20 × 482.20
  4. Step 4: Simplify right side
    235.41x = 232,519.85
  5. Step 5: Solve for x
    x = 232,519.85/235.41
  6. Step 6: Final answer
    x = 987.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.