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Finding the Third Proportional to 164,208 and 353,745

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Solution

The third proportional to 164,208 and 353,745 is: 762,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,208 : 353,745 = 353,745 : x
  2. Step 2: Convert to fraction form
    164,208/353,745 = 353,745/x
  3. Step 3: Cross multiply
    164,208x = 353,745 × 353,745
  4. Step 4: Simplify right side
    164,208x = 125,135,525,025
  5. Step 5: Solve for x
    x = 125,135,525,025/164,208
  6. Step 6: Final answer
    x = 762,054.99

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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.