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Finding the Third Proportional to 71,356.88 and 156,838.50

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Solution

The third proportional to 71,356.88 and 156,838.50 is: 344,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.88 : 156,838.50 = 156,838.50 : x
  2. Step 2: Convert to fraction form
    71,356.88/156,838.50 = 156,838.50/x
  3. Step 3: Cross multiply
    71,356.88x = 156,838.50 × 156,838.50
  4. Step 4: Simplify right side
    71,356.88x = 24,598,315,082.25
  5. Step 5: Solve for x
    x = 24,598,315,082.25/71,356.88
  6. Step 6: Final answer
    x = 344,722.43

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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.