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Finding the Third Proportional to 208,607.91 and 283,375.97

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Solution

The third proportional to 208,607.91 and 283,375.97 is: 384,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607.91 : 283,375.97 = 283,375.97 : x
  2. Step 2: Convert to fraction form
    208,607.91/283,375.97 = 283,375.97/x
  3. Step 3: Cross multiply
    208,607.91x = 283,375.97 × 283,375.97
  4. Step 4: Simplify right side
    208,607.91x = 80,301,939,665.00
  5. Step 5: Solve for x
    x = 80,301,939,665.00/208,607.91
  6. Step 6: Final answer
    x = 384,941.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.