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Finding the Third Proportional to 143,390 and 217,027

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Solution

The third proportional to 143,390 and 217,027 is: 328,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,390 : 217,027 = 217,027 : x
  2. Step 2: Convert to fraction form
    143,390/217,027 = 217,027/x
  3. Step 3: Cross multiply
    143,390x = 217,027 × 217,027
  4. Step 4: Simplify right side
    143,390x = 47,100,718,729
  5. Step 5: Solve for x
    x = 47,100,718,729/143,390
  6. Step 6: Final answer
    x = 328,479.80

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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.