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Finding the Third Proportional to 143,214 and 214,722

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Solution

The third proportional to 143,214 and 214,722 is: 321,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,214 : 214,722 = 214,722 : x
  2. Step 2: Convert to fraction form
    143,214/214,722 = 214,722/x
  3. Step 3: Cross multiply
    143,214x = 214,722 × 214,722
  4. Step 4: Simplify right side
    143,214x = 46,105,537,284
  5. Step 5: Solve for x
    x = 46,105,537,284/143,214
  6. Step 6: Final answer
    x = 321,934.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.