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Finding the Third Proportional to 195,744 and 417,123

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Solution

The third proportional to 195,744 and 417,123 is: 888,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,744 : 417,123 = 417,123 : x
  2. Step 2: Convert to fraction form
    195,744/417,123 = 417,123/x
  3. Step 3: Cross multiply
    195,744x = 417,123 × 417,123
  4. Step 4: Simplify right side
    195,744x = 173,991,597,129
  5. Step 5: Solve for x
    x = 173,991,597,129/195,744
  6. Step 6: Final answer
    x = 888,873.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.