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Finding the Third Proportional to 169,440.50 and 225,894.50

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Solution

The third proportional to 169,440.50 and 225,894.50 is: 301,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,440.50 : 225,894.50 = 225,894.50 : x
  2. Step 2: Convert to fraction form
    169,440.50/225,894.50 = 225,894.50/x
  3. Step 3: Cross multiply
    169,440.50x = 225,894.50 × 225,894.50
  4. Step 4: Simplify right side
    169,440.50x = 51,028,325,130.25
  5. Step 5: Solve for x
    x = 51,028,325,130.25/169,440.50
  6. Step 6: Final answer
    x = 301,157.78

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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.