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Finding the Third Proportional to 130,067.86 and 283,709.88

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Solution

The third proportional to 130,067.86 and 283,709.88 is: 618,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,067.86 : 283,709.88 = 283,709.88 : x
  2. Step 2: Convert to fraction form
    130,067.86/283,709.88 = 283,709.88/x
  3. Step 3: Cross multiply
    130,067.86x = 283,709.88 × 283,709.88
  4. Step 4: Simplify right side
    130,067.86x = 80,491,297,605.48
  5. Step 5: Solve for x
    x = 80,491,297,605.48/130,067.86
  6. Step 6: Final answer
    x = 618,840.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.