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Finding the Third Proportional to 151,206 and 332,450

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Solution

The third proportional to 151,206 and 332,450 is: 730,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,206 : 332,450 = 332,450 : x
  2. Step 2: Convert to fraction form
    151,206/332,450 = 332,450/x
  3. Step 3: Cross multiply
    151,206x = 332,450 × 332,450
  4. Step 4: Simplify right side
    151,206x = 110,523,002,500
  5. Step 5: Solve for x
    x = 110,523,002,500/151,206
  6. Step 6: Final answer
    x = 730,943.23

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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.