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Finding the Third Proportional to 187.88 and 387.94

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Solution

The third proportional to 187.88 and 387.94 is: 801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 387.94 = 387.94 : x
  2. Step 2: Convert to fraction form
    187.88/387.94 = 387.94/x
  3. Step 3: Cross multiply
    187.88x = 387.94 × 387.94
  4. Step 4: Simplify right side
    187.88x = 150,495.50
  5. Step 5: Solve for x
    x = 150,495.50/187.88
  6. Step 6: Final answer
    x = 801.04

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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.