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Finding the Third Proportional to 131.48 and 194.66

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Solution

The third proportional to 131.48 and 194.66 is: 288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.48 : 194.66 = 194.66 : x
  2. Step 2: Convert to fraction form
    131.48/194.66 = 194.66/x
  3. Step 3: Cross multiply
    131.48x = 194.66 × 194.66
  4. Step 4: Simplify right side
    131.48x = 37,892.58
  5. Step 5: Solve for x
    x = 37,892.58/131.48
  6. Step 6: Final answer
    x = 288.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.