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Finding the Third Proportional to 120.23 and 272.11

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Solution

The third proportional to 120.23 and 272.11 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 272.11 = 272.11 : x
  2. Step 2: Convert to fraction form
    120.23/272.11 = 272.11/x
  3. Step 3: Cross multiply
    120.23x = 272.11 × 272.11
  4. Step 4: Simplify right side
    120.23x = 74,043.51
  5. Step 5: Solve for x
    x = 74,043.51/120.23
  6. Step 6: Final answer
    x = 615.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.