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Finding the Third Proportional to 301.56 and 451.22

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Solution

The third proportional to 301.56 and 451.22 is: 675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 451.22 = 451.22 : x
  2. Step 2: Convert to fraction form
    301.56/451.22 = 451.22/x
  3. Step 3: Cross multiply
    301.56x = 451.22 × 451.22
  4. Step 4: Simplify right side
    301.56x = 203,598.36
  5. Step 5: Solve for x
    x = 203,598.36/301.56
  6. Step 6: Final answer
    x = 675.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.