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Finding the Third Proportional to 169,892 and 237,622

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Solution

The third proportional to 169,892 and 237,622 is: 332,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,892 : 237,622 = 237,622 : x
  2. Step 2: Convert to fraction form
    169,892/237,622 = 237,622/x
  3. Step 3: Cross multiply
    169,892x = 237,622 × 237,622
  4. Step 4: Simplify right side
    169,892x = 56,464,214,884
  5. Step 5: Solve for x
    x = 56,464,214,884/169,892
  6. Step 6: Final answer
    x = 332,353.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.