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Finding the Third Proportional to 201.58 and 441.57

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Solution

The third proportional to 201.58 and 441.57 is: 967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 441.57 = 441.57 : x
  2. Step 2: Convert to fraction form
    201.58/441.57 = 441.57/x
  3. Step 3: Cross multiply
    201.58x = 441.57 × 441.57
  4. Step 4: Simplify right side
    201.58x = 194,985.20
  5. Step 5: Solve for x
    x = 194,985.20/201.58
  6. Step 6: Final answer
    x = 967.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.