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Finding the Third Proportional to 168,450 and 252,416

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Solution

The third proportional to 168,450 and 252,416 is: 378,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,450 : 252,416 = 252,416 : x
  2. Step 2: Convert to fraction form
    168,450/252,416 = 252,416/x
  3. Step 3: Cross multiply
    168,450x = 252,416 × 252,416
  4. Step 4: Simplify right side
    168,450x = 63,713,837,056
  5. Step 5: Solve for x
    x = 63,713,837,056/168,450
  6. Step 6: Final answer
    x = 378,235.90

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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.