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Finding the Third Proportional to 71,401.50 and 152,280

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Solution

The third proportional to 71,401.50 and 152,280 is: 324,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,401.50 : 152,280 = 152,280 : x
  2. Step 2: Convert to fraction form
    71,401.50/152,280 = 152,280/x
  3. Step 3: Cross multiply
    71,401.50x = 152,280 × 152,280
  4. Step 4: Simplify right side
    71,401.50x = 23,189,198,400
  5. Step 5: Solve for x
    x = 23,189,198,400/71,401.50
  6. Step 6: Final answer
    x = 324,771.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.