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Finding the Third Proportional to 168,982 and 252,967

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Solution

The third proportional to 168,982 and 252,967 is: 378,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,982 : 252,967 = 252,967 : x
  2. Step 2: Convert to fraction form
    168,982/252,967 = 252,967/x
  3. Step 3: Cross multiply
    168,982x = 252,967 × 252,967
  4. Step 4: Simplify right side
    168,982x = 63,992,303,089
  5. Step 5: Solve for x
    x = 63,992,303,089/168,982
  6. Step 6: Final answer
    x = 378,693.02

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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.