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Finding the Third Proportional to 117,431.25 and 261,755.25

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Solution

The third proportional to 117,431.25 and 261,755.25 is: 583,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,431.25 : 261,755.25 = 261,755.25 : x
  2. Step 2: Convert to fraction form
    117,431.25/261,755.25 = 261,755.25/x
  3. Step 3: Cross multiply
    117,431.25x = 261,755.25 × 261,755.25
  4. Step 4: Simplify right side
    117,431.25x = 68,515,810,902.56
  5. Step 5: Solve for x
    x = 68,515,810,902.56/117,431.25
  6. Step 6: Final answer
    x = 583,454.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.