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Finding the Third Proportional to 150,678 and 332,028

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Solution

The third proportional to 150,678 and 332,028 is: 731,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678 : 332,028 = 332,028 : x
  2. Step 2: Convert to fraction form
    150,678/332,028 = 332,028/x
  3. Step 3: Cross multiply
    150,678x = 332,028 × 332,028
  4. Step 4: Simplify right side
    150,678x = 110,242,592,784
  5. Step 5: Solve for x
    x = 110,242,592,784/150,678
  6. Step 6: Final answer
    x = 731,643.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.