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Finding the Third Proportional to 301.50 and 440.38

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Solution

The third proportional to 301.50 and 440.38 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 440.38 = 440.38 : x
  2. Step 2: Convert to fraction form
    301.50/440.38 = 440.38/x
  3. Step 3: Cross multiply
    301.50x = 440.38 × 440.38
  4. Step 4: Simplify right side
    301.50x = 193,930.14
  5. Step 5: Solve for x
    x = 193,930.14/301.50
  6. Step 6: Final answer
    x = 643.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.