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Finding the Third Proportional to 141 and 233.75

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Solution

The third proportional to 141 and 233.75 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 233.75 = 233.75 : x
  2. Step 2: Convert to fraction form
    141/233.75 = 233.75/x
  3. Step 3: Cross multiply
    141x = 233.75 × 233.75
  4. Step 4: Simplify right side
    141x = 54,639.06
  5. Step 5: Solve for x
    x = 54,639.06/141
  6. Step 6: Final answer
    x = 387.51

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.