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Finding the Third Proportional to 120,452.50 and 250,462.75

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Solution

The third proportional to 120,452.50 and 250,462.75 is: 520,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,452.50 : 250,462.75 = 250,462.75 : x
  2. Step 2: Convert to fraction form
    120,452.50/250,462.75 = 250,462.75/x
  3. Step 3: Cross multiply
    120,452.50x = 250,462.75 × 250,462.75
  4. Step 4: Simplify right side
    120,452.50x = 62,731,589,137.56
  5. Step 5: Solve for x
    x = 62,731,589,137.56/120,452.50
  6. Step 6: Final answer
    x = 520,799.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.