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Finding the Third Proportional to 208.44 and 451.06

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Solution

The third proportional to 208.44 and 451.06 is: 976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 451.06 = 451.06 : x
  2. Step 2: Convert to fraction form
    208.44/451.06 = 451.06/x
  3. Step 3: Cross multiply
    208.44x = 451.06 × 451.06
  4. Step 4: Simplify right side
    208.44x = 203,457.38
  5. Step 5: Solve for x
    x = 203,457.38/208.44
  6. Step 6: Final answer
    x = 976.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.