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Finding the Third Proportional to 108,266 and 236,205

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Solution

The third proportional to 108,266 and 236,205 is: 515,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,266 : 236,205 = 236,205 : x
  2. Step 2: Convert to fraction form
    108,266/236,205 = 236,205/x
  3. Step 3: Cross multiply
    108,266x = 236,205 × 236,205
  4. Step 4: Simplify right side
    108,266x = 55,792,802,025
  5. Step 5: Solve for x
    x = 55,792,802,025/108,266
  6. Step 6: Final answer
    x = 515,330.78

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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.