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Finding the Third Proportional to 225,873 and 332,563.50

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Solution

The third proportional to 225,873 and 332,563.50 is: 489,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,873 : 332,563.50 = 332,563.50 : x
  2. Step 2: Convert to fraction form
    225,873/332,563.50 = 332,563.50/x
  3. Step 3: Cross multiply
    225,873x = 332,563.50 × 332,563.50
  4. Step 4: Simplify right side
    225,873x = 110,598,481,532.25
  5. Step 5: Solve for x
    x = 110,598,481,532.25/225,873
  6. Step 6: Final answer
    x = 489,648.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.