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Finding the Third Proportional to 168,202 and 253,005

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Solution

The third proportional to 168,202 and 253,005 is: 380,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,202 : 253,005 = 253,005 : x
  2. Step 2: Convert to fraction form
    168,202/253,005 = 253,005/x
  3. Step 3: Cross multiply
    168,202x = 253,005 × 253,005
  4. Step 4: Simplify right side
    168,202x = 64,011,530,025
  5. Step 5: Solve for x
    x = 64,011,530,025/168,202
  6. Step 6: Final answer
    x = 380,563.43

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