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Finding the Third Proportional to 108,551 and 236,218

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Solution

The third proportional to 108,551 and 236,218 is: 514,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,551 : 236,218 = 236,218 : x
  2. Step 2: Convert to fraction form
    108,551/236,218 = 236,218/x
  3. Step 3: Cross multiply
    108,551x = 236,218 × 236,218
  4. Step 4: Simplify right side
    108,551x = 55,798,943,524
  5. Step 5: Solve for x
    x = 55,798,943,524/108,551
  6. Step 6: Final answer
    x = 514,034.36

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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.