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Finding the Third Proportional to 117.75 and 189.38

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Solution

The third proportional to 117.75 and 189.38 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 189.38 = 189.38 : x
  2. Step 2: Convert to fraction form
    117.75/189.38 = 189.38/x
  3. Step 3: Cross multiply
    117.75x = 189.38 × 189.38
  4. Step 4: Simplify right side
    117.75x = 35,862.89
  5. Step 5: Solve for x
    x = 35,862.89/117.75
  6. Step 6: Final answer
    x = 304.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.