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Finding the Third Proportional to 129,997.69 and 279,397.69

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Solution

The third proportional to 129,997.69 and 279,397.69 is: 600,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,997.69 : 279,397.69 = 279,397.69 : x
  2. Step 2: Convert to fraction form
    129,997.69/279,397.69 = 279,397.69/x
  3. Step 3: Cross multiply
    129,997.69x = 279,397.69 × 279,397.69
  4. Step 4: Simplify right side
    129,997.69x = 78,063,067,780.35
  5. Step 5: Solve for x
    x = 78,063,067,780.35/129,997.69
  6. Step 6: Final answer
    x = 600,495.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.