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Finding the Third Proportional to 175,108 and 267,745.50

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Solution

The third proportional to 175,108 and 267,745.50 is: 409,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,108 : 267,745.50 = 267,745.50 : x
  2. Step 2: Convert to fraction form
    175,108/267,745.50 = 267,745.50/x
  3. Step 3: Cross multiply
    175,108x = 267,745.50 × 267,745.50
  4. Step 4: Simplify right side
    175,108x = 71,687,652,770.25
  5. Step 5: Solve for x
    x = 71,687,652,770.25/175,108
  6. Step 6: Final answer
    x = 409,391.08

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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.