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Finding the Third Proportional to 141,540.75 and 217,226.25

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Solution

The third proportional to 141,540.75 and 217,226.25 is: 333,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,540.75 : 217,226.25 = 217,226.25 : x
  2. Step 2: Convert to fraction form
    141,540.75/217,226.25 = 217,226.25/x
  3. Step 3: Cross multiply
    141,540.75x = 217,226.25 × 217,226.25
  4. Step 4: Simplify right side
    141,540.75x = 47,187,243,689.06
  5. Step 5: Solve for x
    x = 47,187,243,689.06/141,540.75
  6. Step 6: Final answer
    x = 333,382.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.