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Finding the Third Proportional to 151,467.75 and 332,311.50

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Solution

The third proportional to 151,467.75 and 332,311.50 is: 729,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,467.75 : 332,311.50 = 332,311.50 : x
  2. Step 2: Convert to fraction form
    151,467.75/332,311.50 = 332,311.50/x
  3. Step 3: Cross multiply
    151,467.75x = 332,311.50 × 332,311.50
  4. Step 4: Simplify right side
    151,467.75x = 110,430,933,032.25
  5. Step 5: Solve for x
    x = 110,430,933,032.25/151,467.75
  6. Step 6: Final answer
    x = 729,072.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.