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Finding the Third Proportional to 164.43 and 231.40

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Solution

The third proportional to 164.43 and 231.40 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 231.40 = 231.40 : x
  2. Step 2: Convert to fraction form
    164.43/231.40 = 231.40/x
  3. Step 3: Cross multiply
    164.43x = 231.40 × 231.40
  4. Step 4: Simplify right side
    164.43x = 53,545.24
  5. Step 5: Solve for x
    x = 53,545.24/164.43
  6. Step 6: Final answer
    x = 325.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.