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Finding the Third Proportional to 108,165 and 232,322

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Solution

The third proportional to 108,165 and 232,322 is: 498,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,165 : 232,322 = 232,322 : x
  2. Step 2: Convert to fraction form
    108,165/232,322 = 232,322/x
  3. Step 3: Cross multiply
    108,165x = 232,322 × 232,322
  4. Step 4: Simplify right side
    108,165x = 53,973,511,684
  5. Step 5: Solve for x
    x = 53,973,511,684/108,165
  6. Step 6: Final answer
    x = 498,992.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.