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Finding the Third Proportional to 301.36 and 467.30

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Solution

The third proportional to 301.36 and 467.30 is: 724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 467.30 = 467.30 : x
  2. Step 2: Convert to fraction form
    301.36/467.30 = 467.30/x
  3. Step 3: Cross multiply
    301.36x = 467.30 × 467.30
  4. Step 4: Simplify right side
    301.36x = 218,366.37
  5. Step 5: Solve for x
    x = 218,366.37/301.36
  6. Step 6: Final answer
    x = 724.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.