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Finding the Third Proportional to 236.38 and 346.31

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Solution

The third proportional to 236.38 and 346.31 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 346.31 = 346.31 : x
  2. Step 2: Convert to fraction form
    236.38/346.31 = 346.31/x
  3. Step 3: Cross multiply
    236.38x = 346.31 × 346.31
  4. Step 4: Simplify right side
    236.38x = 119,932.35
  5. Step 5: Solve for x
    x = 119,932.35/236.38
  6. Step 6: Final answer
    x = 507.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.