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Finding the Third Proportional to 224,343 and 332,991

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Solution

The third proportional to 224,343 and 332,991 is: 494,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,343 : 332,991 = 332,991 : x
  2. Step 2: Convert to fraction form
    224,343/332,991 = 332,991/x
  3. Step 3: Cross multiply
    224,343x = 332,991 × 332,991
  4. Step 4: Simplify right side
    224,343x = 110,883,006,081
  5. Step 5: Solve for x
    x = 110,883,006,081/224,343
  6. Step 6: Final answer
    x = 494,256.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.