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Finding the Third Proportional to 186.75 and 481.78

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Solution

The third proportional to 186.75 and 481.78 is: 1,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 481.78 = 481.78 : x
  2. Step 2: Convert to fraction form
    186.75/481.78 = 481.78/x
  3. Step 3: Cross multiply
    186.75x = 481.78 × 481.78
  4. Step 4: Simplify right side
    186.75x = 232,113.17
  5. Step 5: Solve for x
    x = 232,113.17/186.75
  6. Step 6: Final answer
    x = 1,242.91

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.