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Finding the Third Proportional to 101.06 and 234.28

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Solution

The third proportional to 101.06 and 234.28 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 234.28 = 234.28 : x
  2. Step 2: Convert to fraction form
    101.06/234.28 = 234.28/x
  3. Step 3: Cross multiply
    101.06x = 234.28 × 234.28
  4. Step 4: Simplify right side
    101.06x = 54,887.70
  5. Step 5: Solve for x
    x = 54,887.70/101.06
  6. Step 6: Final answer
    x = 543.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.