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Finding the Third Proportional to 104,007 and 202,830

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Solution

The third proportional to 104,007 and 202,830 is: 395,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,007 : 202,830 = 202,830 : x
  2. Step 2: Convert to fraction form
    104,007/202,830 = 202,830/x
  3. Step 3: Cross multiply
    104,007x = 202,830 × 202,830
  4. Step 4: Simplify right side
    104,007x = 41,140,008,900
  5. Step 5: Solve for x
    x = 41,140,008,900/104,007
  6. Step 6: Final answer
    x = 395,550.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.