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Finding the Third Proportional to 172.20 and 377.37

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Solution

The third proportional to 172.20 and 377.37 is: 827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.20 : 377.37 = 377.37 : x
  2. Step 2: Convert to fraction form
    172.20/377.37 = 377.37/x
  3. Step 3: Cross multiply
    172.20x = 377.37 × 377.37
  4. Step 4: Simplify right side
    172.20x = 142,405.99
  5. Step 5: Solve for x
    x = 142,405.99/172.20
  6. Step 6: Final answer
    x = 827.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.