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Finding the Third Proportional to 178,876 and 369,092

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Solution

The third proportional to 178,876 and 369,092 is: 761,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,876 : 369,092 = 369,092 : x
  2. Step 2: Convert to fraction form
    178,876/369,092 = 369,092/x
  3. Step 3: Cross multiply
    178,876x = 369,092 × 369,092
  4. Step 4: Simplify right side
    178,876x = 136,228,904,464
  5. Step 5: Solve for x
    x = 136,228,904,464/178,876
  6. Step 6: Final answer
    x = 761,582.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.