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Finding the Third Proportional to 107,703 and 236,796

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Solution

The third proportional to 107,703 and 236,796 is: 520,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,703 : 236,796 = 236,796 : x
  2. Step 2: Convert to fraction form
    107,703/236,796 = 236,796/x
  3. Step 3: Cross multiply
    107,703x = 236,796 × 236,796
  4. Step 4: Simplify right side
    107,703x = 56,072,345,616
  5. Step 5: Solve for x
    x = 56,072,345,616/107,703
  6. Step 6: Final answer
    x = 520,620.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.