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Finding the Third Proportional to 107,775 and 236,736

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Solution

The third proportional to 107,775 and 236,736 is: 520,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,775 : 236,736 = 236,736 : x
  2. Step 2: Convert to fraction form
    107,775/236,736 = 236,736/x
  3. Step 3: Cross multiply
    107,775x = 236,736 × 236,736
  4. Step 4: Simplify right side
    107,775x = 56,043,933,696
  5. Step 5: Solve for x
    x = 56,043,933,696/107,775
  6. Step 6: Final answer
    x = 520,008.66

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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.