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Finding the Third Proportional to 180.94 and 383.34

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Solution

The third proportional to 180.94 and 383.34 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 383.34 = 383.34 : x
  2. Step 2: Convert to fraction form
    180.94/383.34 = 383.34/x
  3. Step 3: Cross multiply
    180.94x = 383.34 × 383.34
  4. Step 4: Simplify right side
    180.94x = 146,952.43
  5. Step 5: Solve for x
    x = 146,952.43/180.94
  6. Step 6: Final answer
    x = 812.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.