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Finding the Third Proportional to 108,273 and 236,202

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Solution

The third proportional to 108,273 and 236,202 is: 515,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,273 : 236,202 = 236,202 : x
  2. Step 2: Convert to fraction form
    108,273/236,202 = 236,202/x
  3. Step 3: Cross multiply
    108,273x = 236,202 × 236,202
  4. Step 4: Simplify right side
    108,273x = 55,791,384,804
  5. Step 5: Solve for x
    x = 55,791,384,804/108,273
  6. Step 6: Final answer
    x = 515,284.37

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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.