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Finding the Third Proportional to 207.88 and 457.25

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Solution

The third proportional to 207.88 and 457.25 is: 1,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 457.25 = 457.25 : x
  2. Step 2: Convert to fraction form
    207.88/457.25 = 457.25/x
  3. Step 3: Cross multiply
    207.88x = 457.25 × 457.25
  4. Step 4: Simplify right side
    207.88x = 209,077.56
  5. Step 5: Solve for x
    x = 209,077.56/207.88
  6. Step 6: Final answer
    x = 1,005.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.