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Finding the Third Proportional to 71,355.50 and 156,836

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Solution

The third proportional to 71,355.50 and 156,836 is: 344,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,355.50 : 156,836 = 156,836 : x
  2. Step 2: Convert to fraction form
    71,355.50/156,836 = 156,836/x
  3. Step 3: Cross multiply
    71,355.50x = 156,836 × 156,836
  4. Step 4: Simplify right side
    71,355.50x = 24,597,530,896
  5. Step 5: Solve for x
    x = 24,597,530,896/71,355.50
  6. Step 6: Final answer
    x = 344,718.08

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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.