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Finding the Third Proportional to 300.02 and 403.21

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Solution

The third proportional to 300.02 and 403.21 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 403.21 = 403.21 : x
  2. Step 2: Convert to fraction form
    300.02/403.21 = 403.21/x
  3. Step 3: Cross multiply
    300.02x = 403.21 × 403.21
  4. Step 4: Simplify right side
    300.02x = 162,575.91
  5. Step 5: Solve for x
    x = 162,575.91/300.02
  6. Step 6: Final answer
    x = 541.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.