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Finding the Third Proportional to 168,964 and 252,945

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Solution

The third proportional to 168,964 and 252,945 is: 378,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,964 : 252,945 = 252,945 : x
  2. Step 2: Convert to fraction form
    168,964/252,945 = 252,945/x
  3. Step 3: Cross multiply
    168,964x = 252,945 × 252,945
  4. Step 4: Simplify right side
    168,964x = 63,981,173,025
  5. Step 5: Solve for x
    x = 63,981,173,025/168,964
  6. Step 6: Final answer
    x = 378,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.