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Finding the Third Proportional to 86,009 and 202,372

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Solution

The third proportional to 86,009 and 202,372 is: 476,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,009 : 202,372 = 202,372 : x
  2. Step 2: Convert to fraction form
    86,009/202,372 = 202,372/x
  3. Step 3: Cross multiply
    86,009x = 202,372 × 202,372
  4. Step 4: Simplify right side
    86,009x = 40,954,426,384
  5. Step 5: Solve for x
    x = 40,954,426,384/86,009
  6. Step 6: Final answer
    x = 476,164.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.