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Finding the Third Proportional to 108,206 and 233,692

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Solution

The third proportional to 108,206 and 233,692 is: 504,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,206 : 233,692 = 233,692 : x
  2. Step 2: Convert to fraction form
    108,206/233,692 = 233,692/x
  3. Step 3: Cross multiply
    108,206x = 233,692 × 233,692
  4. Step 4: Simplify right side
    108,206x = 54,611,950,864
  5. Step 5: Solve for x
    x = 54,611,950,864/108,206
  6. Step 6: Final answer
    x = 504,703.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.