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Finding the Third Proportional to 143,132 and 215,668

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Solution

The third proportional to 143,132 and 215,668 is: 324,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,132 : 215,668 = 215,668 : x
  2. Step 2: Convert to fraction form
    143,132/215,668 = 215,668/x
  3. Step 3: Cross multiply
    143,132x = 215,668 × 215,668
  4. Step 4: Simplify right side
    143,132x = 46,512,686,224
  5. Step 5: Solve for x
    x = 46,512,686,224/143,132
  6. Step 6: Final answer
    x = 324,963.57

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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.