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Finding the Third Proportional to 186.50 and 254

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Solution

The third proportional to 186.50 and 254 is: 345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 254 = 254 : x
  2. Step 2: Convert to fraction form
    186.50/254 = 254/x
  3. Step 3: Cross multiply
    186.50x = 254 × 254
  4. Step 4: Simplify right side
    186.50x = 64,516
  5. Step 5: Solve for x
    x = 64,516/186.50
  6. Step 6: Final answer
    x = 345.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.