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Finding the Third Proportional to 169,704 and 251,622

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Solution

The third proportional to 169,704 and 251,622 is: 373,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,704 : 251,622 = 251,622 : x
  2. Step 2: Convert to fraction form
    169,704/251,622 = 251,622/x
  3. Step 3: Cross multiply
    169,704x = 251,622 × 251,622
  4. Step 4: Simplify right side
    169,704x = 63,313,630,884
  5. Step 5: Solve for x
    x = 63,313,630,884/169,704
  6. Step 6: Final answer
    x = 373,082.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.