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Finding the Third Proportional to 299.06 and 461.91

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Solution

The third proportional to 299.06 and 461.91 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 461.91 = 461.91 : x
  2. Step 2: Convert to fraction form
    299.06/461.91 = 461.91/x
  3. Step 3: Cross multiply
    299.06x = 461.91 × 461.91
  4. Step 4: Simplify right side
    299.06x = 213,357.38
  5. Step 5: Solve for x
    x = 213,357.38/299.06
  6. Step 6: Final answer
    x = 713.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.