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Finding the Third Proportional to 169,344 and 373,244

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Solution

The third proportional to 169,344 and 373,244 is: 822,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 373,244 = 373,244 : x
  2. Step 2: Convert to fraction form
    169,344/373,244 = 373,244/x
  3. Step 3: Cross multiply
    169,344x = 373,244 × 373,244
  4. Step 4: Simplify right side
    169,344x = 139,311,083,536
  5. Step 5: Solve for x
    x = 139,311,083,536/169,344
  6. Step 6: Final answer
    x = 822,651.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.