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Finding the Third Proportional to 108,262.50 and 236,199

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Solution

The third proportional to 108,262.50 and 236,199 is: 515,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262.50 : 236,199 = 236,199 : x
  2. Step 2: Convert to fraction form
    108,262.50/236,199 = 236,199/x
  3. Step 3: Cross multiply
    108,262.50x = 236,199 × 236,199
  4. Step 4: Simplify right side
    108,262.50x = 55,789,967,601
  5. Step 5: Solve for x
    x = 55,789,967,601/108,262.50
  6. Step 6: Final answer
    x = 515,321.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.