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Finding the Third Proportional to 169,409 and 225,848

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Solution

The third proportional to 169,409 and 225,848 is: 301,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,409 : 225,848 = 225,848 : x
  2. Step 2: Convert to fraction form
    169,409/225,848 = 225,848/x
  3. Step 3: Cross multiply
    169,409x = 225,848 × 225,848
  4. Step 4: Simplify right side
    169,409x = 51,007,319,104
  5. Step 5: Solve for x
    x = 51,007,319,104/169,409
  6. Step 6: Final answer
    x = 301,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.