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Finding the Third Proportional to 328.69 and 467.81

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Solution

The third proportional to 328.69 and 467.81 is: 665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 467.81 = 467.81 : x
  2. Step 2: Convert to fraction form
    328.69/467.81 = 467.81/x
  3. Step 3: Cross multiply
    328.69x = 467.81 × 467.81
  4. Step 4: Simplify right side
    328.69x = 218,848.54
  5. Step 5: Solve for x
    x = 218,848.54/328.69
  6. Step 6: Final answer
    x = 665.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.