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Finding the Third Proportional to 183,996 and 269,934

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Solution

The third proportional to 183,996 and 269,934 is: 396,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,996 : 269,934 = 269,934 : x
  2. Step 2: Convert to fraction form
    183,996/269,934 = 269,934/x
  3. Step 3: Cross multiply
    183,996x = 269,934 × 269,934
  4. Step 4: Simplify right side
    183,996x = 72,864,364,356
  5. Step 5: Solve for x
    x = 72,864,364,356/183,996
  6. Step 6: Final answer
    x = 396,010.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.