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Finding the Third Proportional to 105,261.75 and 231,540.75

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Solution

The third proportional to 105,261.75 and 231,540.75 is: 509,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,261.75 : 231,540.75 = 231,540.75 : x
  2. Step 2: Convert to fraction form
    105,261.75/231,540.75 = 231,540.75/x
  3. Step 3: Cross multiply
    105,261.75x = 231,540.75 × 231,540.75
  4. Step 4: Simplify right side
    105,261.75x = 53,611,118,910.56
  5. Step 5: Solve for x
    x = 53,611,118,910.56/105,261.75
  6. Step 6: Final answer
    x = 509,312.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.