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Finding the Third Proportional to 231.75 and 324.50

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Solution

The third proportional to 231.75 and 324.50 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 324.50 = 324.50 : x
  2. Step 2: Convert to fraction form
    231.75/324.50 = 324.50/x
  3. Step 3: Cross multiply
    231.75x = 324.50 × 324.50
  4. Step 4: Simplify right side
    231.75x = 105,300.25
  5. Step 5: Solve for x
    x = 105,300.25/231.75
  6. Step 6: Final answer
    x = 454.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.