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Finding the Third Proportional to 143,858 and 217,786.25

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Solution

The third proportional to 143,858 and 217,786.25 is: 329,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,858 : 217,786.25 = 217,786.25 : x
  2. Step 2: Convert to fraction form
    143,858/217,786.25 = 217,786.25/x
  3. Step 3: Cross multiply
    143,858x = 217,786.25 × 217,786.25
  4. Step 4: Simplify right side
    143,858x = 47,430,850,689.06
  5. Step 5: Solve for x
    x = 47,430,850,689.06/143,858
  6. Step 6: Final answer
    x = 329,706.03

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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.