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Finding the Third Proportional to 107,208 and 235,796

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Solution

The third proportional to 107,208 and 235,796 is: 518,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,208 : 235,796 = 235,796 : x
  2. Step 2: Convert to fraction form
    107,208/235,796 = 235,796/x
  3. Step 3: Cross multiply
    107,208x = 235,796 × 235,796
  4. Step 4: Simplify right side
    107,208x = 55,599,753,616
  5. Step 5: Solve for x
    x = 55,599,753,616/107,208
  6. Step 6: Final answer
    x = 518,615.72

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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.