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Finding the Third Proportional to 236.43 and 496.60

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Solution

The third proportional to 236.43 and 496.60 is: 1,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.43 : 496.60 = 496.60 : x
  2. Step 2: Convert to fraction form
    236.43/496.60 = 496.60/x
  3. Step 3: Cross multiply
    236.43x = 496.60 × 496.60
  4. Step 4: Simplify right side
    236.43x = 246,611.17
  5. Step 5: Solve for x
    x = 246,611.17/236.43
  6. Step 6: Final answer
    x = 1,043.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.