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Finding the Third Proportional to 187.45 and 351.49

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Solution

The third proportional to 187.45 and 351.49 is: 659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 351.49 = 351.49 : x
  2. Step 2: Convert to fraction form
    187.45/351.49 = 351.49/x
  3. Step 3: Cross multiply
    187.45x = 351.49 × 351.49
  4. Step 4: Simplify right side
    187.45x = 123,546.76
  5. Step 5: Solve for x
    x = 123,546.76/187.45
  6. Step 6: Final answer
    x = 659.08

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.