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Finding the Third Proportional to 186 and 397.88

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Solution

The third proportional to 186 and 397.88 is: 851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 397.88 = 397.88 : x
  2. Step 2: Convert to fraction form
    186/397.88 = 397.88/x
  3. Step 3: Cross multiply
    186x = 397.88 × 397.88
  4. Step 4: Simplify right side
    186x = 158,304.52
  5. Step 5: Solve for x
    x = 158,304.52/186
  6. Step 6: Final answer
    x = 851.10

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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.