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Finding the Third Proportional to 168,980 and 252,964

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Solution

The third proportional to 168,980 and 252,964 is: 378,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,980 : 252,964 = 252,964 : x
  2. Step 2: Convert to fraction form
    168,980/252,964 = 252,964/x
  3. Step 3: Cross multiply
    168,980x = 252,964 × 252,964
  4. Step 4: Simplify right side
    168,980x = 63,990,785,296
  5. Step 5: Solve for x
    x = 63,990,785,296/168,980
  6. Step 6: Final answer
    x = 378,688.52

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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.