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Finding the Third Proportional to 164,676 and 354,756

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Solution

The third proportional to 164,676 and 354,756 is: 764,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676 : 354,756 = 354,756 : x
  2. Step 2: Convert to fraction form
    164,676/354,756 = 354,756/x
  3. Step 3: Cross multiply
    164,676x = 354,756 × 354,756
  4. Step 4: Simplify right side
    164,676x = 125,851,819,536
  5. Step 5: Solve for x
    x = 125,851,819,536/164,676
  6. Step 6: Final answer
    x = 764,238.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.