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Finding the Third Proportional to 160,440.75 and 226,921.50

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Solution

The third proportional to 160,440.75 and 226,921.50 is: 320,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,440.75 : 226,921.50 = 226,921.50 : x
  2. Step 2: Convert to fraction form
    160,440.75/226,921.50 = 226,921.50/x
  3. Step 3: Cross multiply
    160,440.75x = 226,921.50 × 226,921.50
  4. Step 4: Simplify right side
    160,440.75x = 51,493,367,162.25
  5. Step 5: Solve for x
    x = 51,493,367,162.25/160,440.75
  6. Step 6: Final answer
    x = 320,949.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.