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Finding the Third Proportional to 303.38 and 444.13

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Solution

The third proportional to 303.38 and 444.13 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.38 : 444.13 = 444.13 : x
  2. Step 2: Convert to fraction form
    303.38/444.13 = 444.13/x
  3. Step 3: Cross multiply
    303.38x = 444.13 × 444.13
  4. Step 4: Simplify right side
    303.38x = 197,247.02
  5. Step 5: Solve for x
    x = 197,247.02/303.38
  6. Step 6: Final answer
    x = 650.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.