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Finding the Third Proportional to 300.56 and 341.06

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Solution

The third proportional to 300.56 and 341.06 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 341.06 = 341.06 : x
  2. Step 2: Convert to fraction form
    300.56/341.06 = 341.06/x
  3. Step 3: Cross multiply
    300.56x = 341.06 × 341.06
  4. Step 4: Simplify right side
    300.56x = 116,323.63
  5. Step 5: Solve for x
    x = 116,323.63/300.56
  6. Step 6: Final answer
    x = 387.02

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.