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Finding the Third Proportional to 301.14 and 451.71

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Solution

The third proportional to 301.14 and 451.71 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 451.71 = 451.71 : x
  2. Step 2: Convert to fraction form
    301.14/451.71 = 451.71/x
  3. Step 3: Cross multiply
    301.14x = 451.71 × 451.71
  4. Step 4: Simplify right side
    301.14x = 204,041.45
  5. Step 5: Solve for x
    x = 204,041.45/301.14
  6. Step 6: Final answer
    x = 677.56

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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.