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Finding the Third Proportional to 236.94 and 514.38

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Solution

The third proportional to 236.94 and 514.38 is: 1,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.94 : 514.38 = 514.38 : x
  2. Step 2: Convert to fraction form
    236.94/514.38 = 514.38/x
  3. Step 3: Cross multiply
    236.94x = 514.38 × 514.38
  4. Step 4: Simplify right side
    236.94x = 264,581.64
  5. Step 5: Solve for x
    x = 264,581.64/236.94
  6. Step 6: Final answer
    x = 1,116.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.