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Finding the Third Proportional to 166,852 and 366,948

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Solution

The third proportional to 166,852 and 366,948 is: 807,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,852 : 366,948 = 366,948 : x
  2. Step 2: Convert to fraction form
    166,852/366,948 = 366,948/x
  3. Step 3: Cross multiply
    166,852x = 366,948 × 366,948
  4. Step 4: Simplify right side
    166,852x = 134,650,834,704
  5. Step 5: Solve for x
    x = 134,650,834,704/166,852
  6. Step 6: Final answer
    x = 807,007.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.