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Finding the Third Proportional to 236.38 and 368.94

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Solution

The third proportional to 236.38 and 368.94 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 368.94 = 368.94 : x
  2. Step 2: Convert to fraction form
    236.38/368.94 = 368.94/x
  3. Step 3: Cross multiply
    236.38x = 368.94 × 368.94
  4. Step 4: Simplify right side
    236.38x = 136,114.88
  5. Step 5: Solve for x
    x = 136,114.88/236.38
  6. Step 6: Final answer
    x = 575.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.