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Finding the Third Proportional to 143,934 and 227,748

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Solution

The third proportional to 143,934 and 227,748 is: 360,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,934 : 227,748 = 227,748 : x
  2. Step 2: Convert to fraction form
    143,934/227,748 = 227,748/x
  3. Step 3: Cross multiply
    143,934x = 227,748 × 227,748
  4. Step 4: Simplify right side
    143,934x = 51,869,151,504
  5. Step 5: Solve for x
    x = 51,869,151,504/143,934
  6. Step 6: Final answer
    x = 360,367.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.