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Finding the Third Proportional to 186.38 and 427.13

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Solution

The third proportional to 186.38 and 427.13 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 427.13 = 427.13 : x
  2. Step 2: Convert to fraction form
    186.38/427.13 = 427.13/x
  3. Step 3: Cross multiply
    186.38x = 427.13 × 427.13
  4. Step 4: Simplify right side
    186.38x = 182,435.77
  5. Step 5: Solve for x
    x = 182,435.77/186.38
  6. Step 6: Final answer
    x = 978.86

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.