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Finding the Third Proportional to 151,224 and 330,149

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Solution

The third proportional to 151,224 and 330,149 is: 720,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,224 : 330,149 = 330,149 : x
  2. Step 2: Convert to fraction form
    151,224/330,149 = 330,149/x
  3. Step 3: Cross multiply
    151,224x = 330,149 × 330,149
  4. Step 4: Simplify right side
    151,224x = 108,998,362,201
  5. Step 5: Solve for x
    x = 108,998,362,201/151,224
  6. Step 6: Final answer
    x = 720,774.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.