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Finding the Third Proportional to 207.56 and 444.94

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Solution

The third proportional to 207.56 and 444.94 is: 953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 444.94 = 444.94 : x
  2. Step 2: Convert to fraction form
    207.56/444.94 = 444.94/x
  3. Step 3: Cross multiply
    207.56x = 444.94 × 444.94
  4. Step 4: Simplify right side
    207.56x = 197,969.38
  5. Step 5: Solve for x
    x = 197,969.38/207.56
  6. Step 6: Final answer
    x = 953.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.