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Finding the Third Proportional to 201.23 and 300.59

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Solution

The third proportional to 201.23 and 300.59 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 300.59 = 300.59 : x
  2. Step 2: Convert to fraction form
    201.23/300.59 = 300.59/x
  3. Step 3: Cross multiply
    201.23x = 300.59 × 300.59
  4. Step 4: Simplify right side
    201.23x = 90,351.91
  5. Step 5: Solve for x
    x = 90,351.91/201.23
  6. Step 6: Final answer
    x = 448.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.