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Finding the Third Proportional to 231 and 573.75

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Solution

The third proportional to 231 and 573.75 is: 1,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 573.75 = 573.75 : x
  2. Step 2: Convert to fraction form
    231/573.75 = 573.75/x
  3. Step 3: Cross multiply
    231x = 573.75 × 573.75
  4. Step 4: Simplify right side
    231x = 329,189.06
  5. Step 5: Solve for x
    x = 329,189.06/231
  6. Step 6: Final answer
    x = 1,425.06

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.