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Finding the Third Proportional to 164,204.40 and 352,961.30

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Solution

The third proportional to 164,204.40 and 352,961.30 is: 758,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,204.40 : 352,961.30 = 352,961.30 : x
  2. Step 2: Convert to fraction form
    164,204.40/352,961.30 = 352,961.30/x
  3. Step 3: Cross multiply
    164,204.40x = 352,961.30 × 352,961.30
  4. Step 4: Simplify right side
    164,204.40x = 124,581,677,091.68
  5. Step 5: Solve for x
    x = 124,581,677,091.68/164,204.40
  6. Step 6: Final answer
    x = 758,698.76

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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.