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Finding the Third Proportional to 178,811 and 268,220.50

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Solution

The third proportional to 178,811 and 268,220.50 is: 402,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,811 : 268,220.50 = 268,220.50 : x
  2. Step 2: Convert to fraction form
    178,811/268,220.50 = 268,220.50/x
  3. Step 3: Cross multiply
    178,811x = 268,220.50 × 268,220.50
  4. Step 4: Simplify right side
    178,811x = 71,942,236,620.25
  5. Step 5: Solve for x
    x = 71,942,236,620.25/178,811
  6. Step 6: Final answer
    x = 402,336.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.