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Finding the Third Proportional to 302.06 and 441.56

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Solution

The third proportional to 302.06 and 441.56 is: 645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.06 : 441.56 = 441.56 : x
  2. Step 2: Convert to fraction form
    302.06/441.56 = 441.56/x
  3. Step 3: Cross multiply
    302.06x = 441.56 × 441.56
  4. Step 4: Simplify right side
    302.06x = 194,977.44
  5. Step 5: Solve for x
    x = 194,977.44/302.06
  6. Step 6: Final answer
    x = 645.49

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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.