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Finding the Third Proportional to 236 and 391.50

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Solution

The third proportional to 236 and 391.50 is: 649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236 : 391.50 = 391.50 : x
  2. Step 2: Convert to fraction form
    236/391.50 = 391.50/x
  3. Step 3: Cross multiply
    236x = 391.50 × 391.50
  4. Step 4: Simplify right side
    236x = 153,272.25
  5. Step 5: Solve for x
    x = 153,272.25/236
  6. Step 6: Final answer
    x = 649.46

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.