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Finding the Third Proportional to 186.75 and 433.97

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Solution

The third proportional to 186.75 and 433.97 is: 1,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.75 : 433.97 = 433.97 : x
  2. Step 2: Convert to fraction form
    186.75/433.97 = 433.97/x
  3. Step 3: Cross multiply
    186.75x = 433.97 × 433.97
  4. Step 4: Simplify right side
    186.75x = 188,328.88
  5. Step 5: Solve for x
    x = 188,328.88/186.75
  6. Step 6: Final answer
    x = 1,008.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.