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Finding the Third Proportional to 84,343 and 181,189

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Solution

The third proportional to 84,343 and 181,189 is: 389,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343 : 181,189 = 181,189 : x
  2. Step 2: Convert to fraction form
    84,343/181,189 = 181,189/x
  3. Step 3: Cross multiply
    84,343x = 181,189 × 181,189
  4. Step 4: Simplify right side
    84,343x = 32,829,453,721
  5. Step 5: Solve for x
    x = 32,829,453,721/84,343
  6. Step 6: Final answer
    x = 389,237.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.