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Finding the Third Proportional to 186.44 and 399.88

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Solution

The third proportional to 186.44 and 399.88 is: 857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.44 : 399.88 = 399.88 : x
  2. Step 2: Convert to fraction form
    186.44/399.88 = 399.88/x
  3. Step 3: Cross multiply
    186.44x = 399.88 × 399.88
  4. Step 4: Simplify right side
    186.44x = 159,900.02
  5. Step 5: Solve for x
    x = 159,900.02/186.44
  6. Step 6: Final answer
    x = 857.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.