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Finding the Third Proportional to 174,781 and 267,265.50

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Solution

The third proportional to 174,781 and 267,265.50 is: 408,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,781 : 267,265.50 = 267,265.50 : x
  2. Step 2: Convert to fraction form
    174,781/267,265.50 = 267,265.50/x
  3. Step 3: Cross multiply
    174,781x = 267,265.50 × 267,265.50
  4. Step 4: Simplify right side
    174,781x = 71,430,847,490.25
  5. Step 5: Solve for x
    x = 71,430,847,490.25/174,781
  6. Step 6: Final answer
    x = 408,687.71

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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.