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Finding the Third Proportional to 177,640.50 and 273,049

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Solution

The third proportional to 177,640.50 and 273,049 is: 419,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640.50 : 273,049 = 273,049 : x
  2. Step 2: Convert to fraction form
    177,640.50/273,049 = 273,049/x
  3. Step 3: Cross multiply
    177,640.50x = 273,049 × 273,049
  4. Step 4: Simplify right side
    177,640.50x = 74,555,756,401
  5. Step 5: Solve for x
    x = 74,555,756,401/177,640.50
  6. Step 6: Final answer
    x = 419,700.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.