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Finding the Third Proportional to 238.22 and 512.02

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Solution

The third proportional to 238.22 and 512.02 is: 1,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 512.02 = 512.02 : x
  2. Step 2: Convert to fraction form
    238.22/512.02 = 512.02/x
  3. Step 3: Cross multiply
    238.22x = 512.02 × 512.02
  4. Step 4: Simplify right side
    238.22x = 262,160.00
  5. Step 5: Solve for x
    x = 262,160.00/238.22
  6. Step 6: Final answer
    x = 1,100.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.