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Finding the Third Proportional to 222,348.75 and 332,915.25

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Solution

The third proportional to 222,348.75 and 332,915.25 is: 498,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,348.75 : 332,915.25 = 332,915.25 : x
  2. Step 2: Convert to fraction form
    222,348.75/332,915.25 = 332,915.25/x
  3. Step 3: Cross multiply
    222,348.75x = 332,915.25 × 332,915.25
  4. Step 4: Simplify right side
    222,348.75x = 110,832,563,682.56
  5. Step 5: Solve for x
    x = 110,832,563,682.56/222,348.75
  6. Step 6: Final answer
    x = 498,462.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.