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Finding the Third Proportional to 71,401.50 and 156,816.50

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Solution

The third proportional to 71,401.50 and 156,816.50 is: 344,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,401.50 : 156,816.50 = 156,816.50 : x
  2. Step 2: Convert to fraction form
    71,401.50/156,816.50 = 156,816.50/x
  3. Step 3: Cross multiply
    71,401.50x = 156,816.50 × 156,816.50
  4. Step 4: Simplify right side
    71,401.50x = 24,591,414,672.25
  5. Step 5: Solve for x
    x = 24,591,414,672.25/71,401.50
  6. Step 6: Final answer
    x = 344,410.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.