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Finding the Third Proportional to 120,675.75 and 260,040.75

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Solution

The third proportional to 120,675.75 and 260,040.75 is: 560,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,675.75 : 260,040.75 = 260,040.75 : x
  2. Step 2: Convert to fraction form
    120,675.75/260,040.75 = 260,040.75/x
  3. Step 3: Cross multiply
    120,675.75x = 260,040.75 × 260,040.75
  4. Step 4: Simplify right side
    120,675.75x = 67,621,191,660.56
  5. Step 5: Solve for x
    x = 67,621,191,660.56/120,675.75
  6. Step 6: Final answer
    x = 560,354.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.