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Finding the Third Proportional to 139.13 and 287.25

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Solution

The third proportional to 139.13 and 287.25 is: 593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.13 : 287.25 = 287.25 : x
  2. Step 2: Convert to fraction form
    139.13/287.25 = 287.25/x
  3. Step 3: Cross multiply
    139.13x = 287.25 × 287.25
  4. Step 4: Simplify right side
    139.13x = 82,512.56
  5. Step 5: Solve for x
    x = 82,512.56/139.13
  6. Step 6: Final answer
    x = 593.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.