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Finding the Third Proportional to 231 and 504.75

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Solution

The third proportional to 231 and 504.75 is: 1,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 504.75 = 504.75 : x
  2. Step 2: Convert to fraction form
    231/504.75 = 504.75/x
  3. Step 3: Cross multiply
    231x = 504.75 × 504.75
  4. Step 4: Simplify right side
    231x = 254,772.56
  5. Step 5: Solve for x
    x = 254,772.56/231
  6. Step 6: Final answer
    x = 1,102.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.