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Finding the Third Proportional to 108,263 and 236,200

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Solution

The third proportional to 108,263 and 236,200 is: 515,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263 : 236,200 = 236,200 : x
  2. Step 2: Convert to fraction form
    108,263/236,200 = 236,200/x
  3. Step 3: Cross multiply
    108,263x = 236,200 × 236,200
  4. Step 4: Simplify right side
    108,263x = 55,790,440,000
  5. Step 5: Solve for x
    x = 55,790,440,000/108,263
  6. Step 6: Final answer
    x = 515,323.24

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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.