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Finding the Third Proportional to 298.05 and 447.08

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Solution

The third proportional to 298.05 and 447.08 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 447.08 = 447.08 : x
  2. Step 2: Convert to fraction form
    298.05/447.08 = 447.08/x
  3. Step 3: Cross multiply
    298.05x = 447.08 × 447.08
  4. Step 4: Simplify right side
    298.05x = 199,882.34
  5. Step 5: Solve for x
    x = 199,882.34/298.05
  6. Step 6: Final answer
    x = 670.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.