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Finding the Third Proportional to 154,200 and 241,949.50

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Solution

The third proportional to 154,200 and 241,949.50 is: 379,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,200 : 241,949.50 = 241,949.50 : x
  2. Step 2: Convert to fraction form
    154,200/241,949.50 = 241,949.50/x
  3. Step 3: Cross multiply
    154,200x = 241,949.50 × 241,949.50
  4. Step 4: Simplify right side
    154,200x = 58,539,560,550.25
  5. Step 5: Solve for x
    x = 58,539,560,550.25/154,200
  6. Step 6: Final answer
    x = 379,633.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.