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Finding the Third Proportional to 168,314 and 252,903

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Solution

The third proportional to 168,314 and 252,903 is: 380,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,314 : 252,903 = 252,903 : x
  2. Step 2: Convert to fraction form
    168,314/252,903 = 252,903/x
  3. Step 3: Cross multiply
    168,314x = 252,903 × 252,903
  4. Step 4: Simplify right side
    168,314x = 63,959,927,409
  5. Step 5: Solve for x
    x = 63,959,927,409/168,314
  6. Step 6: Final answer
    x = 380,003.61

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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.