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Finding the Third Proportional to 125,355.50 and 268,206.75

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Solution

The third proportional to 125,355.50 and 268,206.75 is: 573,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,355.50 : 268,206.75 = 268,206.75 : x
  2. Step 2: Convert to fraction form
    125,355.50/268,206.75 = 268,206.75/x
  3. Step 3: Cross multiply
    125,355.50x = 268,206.75 × 268,206.75
  4. Step 4: Simplify right side
    125,355.50x = 71,934,860,745.56
  5. Step 5: Solve for x
    x = 71,934,860,745.56/125,355.50
  6. Step 6: Final answer
    x = 573,846.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.