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Finding the Third Proportional to 120.38 and 272.06

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Solution

The third proportional to 120.38 and 272.06 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 272.06 = 272.06 : x
  2. Step 2: Convert to fraction form
    120.38/272.06 = 272.06/x
  3. Step 3: Cross multiply
    120.38x = 272.06 × 272.06
  4. Step 4: Simplify right side
    120.38x = 74,018.00
  5. Step 5: Solve for x
    x = 74,018.00/120.38
  6. Step 6: Final answer
    x = 614.90

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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.