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Finding the Third Proportional to 236.38 and 337.94

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Solution

The third proportional to 236.38 and 337.94 is: 483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 337.94 = 337.94 : x
  2. Step 2: Convert to fraction form
    236.38/337.94 = 337.94/x
  3. Step 3: Cross multiply
    236.38x = 337.94 × 337.94
  4. Step 4: Simplify right side
    236.38x = 114,201.75
  5. Step 5: Solve for x
    x = 114,201.75/236.38
  6. Step 6: Final answer
    x = 483.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.