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Finding the Third Proportional to 166,162.50 and 362,400.75

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Solution

The third proportional to 166,162.50 and 362,400.75 is: 790,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,162.50 : 362,400.75 = 362,400.75 : x
  2. Step 2: Convert to fraction form
    166,162.50/362,400.75 = 362,400.75/x
  3. Step 3: Cross multiply
    166,162.50x = 362,400.75 × 362,400.75
  4. Step 4: Simplify right side
    166,162.50x = 131,334,303,600.56
  5. Step 5: Solve for x
    x = 131,334,303,600.56/166,162.50
  6. Step 6: Final answer
    x = 790,396.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.