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Finding the Third Proportional to 143,754.75 and 217,647

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Solution

The third proportional to 143,754.75 and 217,647 is: 329,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,754.75 : 217,647 = 217,647 : x
  2. Step 2: Convert to fraction form
    143,754.75/217,647 = 217,647/x
  3. Step 3: Cross multiply
    143,754.75x = 217,647 × 217,647
  4. Step 4: Simplify right side
    143,754.75x = 47,370,216,609
  5. Step 5: Solve for x
    x = 47,370,216,609/143,754.75
  6. Step 6: Final answer
    x = 329,521.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.