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Finding the Third Proportional to 174,793 and 267,283.50

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Solution

The third proportional to 174,793 and 267,283.50 is: 408,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,793 : 267,283.50 = 267,283.50 : x
  2. Step 2: Convert to fraction form
    174,793/267,283.50 = 267,283.50/x
  3. Step 3: Cross multiply
    174,793x = 267,283.50 × 267,283.50
  4. Step 4: Simplify right side
    174,793x = 71,440,469,372.25
  5. Step 5: Solve for x
    x = 71,440,469,372.25/174,793
  6. Step 6: Final answer
    x = 408,714.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.