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Finding the Third Proportional to 236.88 and 346.94

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Solution

The third proportional to 236.88 and 346.94 is: 508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.88 : 346.94 = 346.94 : x
  2. Step 2: Convert to fraction form
    236.88/346.94 = 346.94/x
  3. Step 3: Cross multiply
    236.88x = 346.94 × 346.94
  4. Step 4: Simplify right side
    236.88x = 120,365.63
  5. Step 5: Solve for x
    x = 120,365.63/236.88
  6. Step 6: Final answer
    x = 508.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.