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Finding the Third Proportional to 166,353.75 and 260,622.56

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Solution

The third proportional to 166,353.75 and 260,622.56 is: 408,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,353.75 : 260,622.56 = 260,622.56 : x
  2. Step 2: Convert to fraction form
    166,353.75/260,622.56 = 260,622.56/x
  3. Step 3: Cross multiply
    166,353.75x = 260,622.56 × 260,622.56
  4. Step 4: Simplify right side
    166,353.75x = 67,924,120,084.07
  5. Step 5: Solve for x
    x = 67,924,120,084.07/166,353.75
  6. Step 6: Final answer
    x = 408,311.33

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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.