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Finding the Third Proportional to 166,655 and 393,167

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Solution

The third proportional to 166,655 and 393,167 is: 927,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,655 : 393,167 = 393,167 : x
  2. Step 2: Convert to fraction form
    166,655/393,167 = 393,167/x
  3. Step 3: Cross multiply
    166,655x = 393,167 × 393,167
  4. Step 4: Simplify right side
    166,655x = 154,580,289,889
  5. Step 5: Solve for x
    x = 154,580,289,889/166,655
  6. Step 6: Final answer
    x = 927,546.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.