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Finding the Third Proportional to 147.75 and 207.25

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Solution

The third proportional to 147.75 and 207.25 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 207.25 = 207.25 : x
  2. Step 2: Convert to fraction form
    147.75/207.25 = 207.25/x
  3. Step 3: Cross multiply
    147.75x = 207.25 × 207.25
  4. Step 4: Simplify right side
    147.75x = 42,952.56
  5. Step 5: Solve for x
    x = 42,952.56/147.75
  6. Step 6: Final answer
    x = 290.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.