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Finding the Third Proportional to 299.06 and 606.19

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Solution

The third proportional to 299.06 and 606.19 is: 1,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 606.19 = 606.19 : x
  2. Step 2: Convert to fraction form
    299.06/606.19 = 606.19/x
  3. Step 3: Cross multiply
    299.06x = 606.19 × 606.19
  4. Step 4: Simplify right side
    299.06x = 367,463.29
  5. Step 5: Solve for x
    x = 367,463.29/299.06
  6. Step 6: Final answer
    x = 1,228.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.