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Finding the Third Proportional to 164,568 and 354,720

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Solution

The third proportional to 164,568 and 354,720 is: 764,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,568 : 354,720 = 354,720 : x
  2. Step 2: Convert to fraction form
    164,568/354,720 = 354,720/x
  3. Step 3: Cross multiply
    164,568x = 354,720 × 354,720
  4. Step 4: Simplify right side
    164,568x = 125,826,278,400
  5. Step 5: Solve for x
    x = 125,826,278,400/164,568
  6. Step 6: Final answer
    x = 764,585.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.