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Finding the Third Proportional to 86,351 and 203,551

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Solution

The third proportional to 86,351 and 203,551 is: 479,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,351 : 203,551 = 203,551 : x
  2. Step 2: Convert to fraction form
    86,351/203,551 = 203,551/x
  3. Step 3: Cross multiply
    86,351x = 203,551 × 203,551
  4. Step 4: Simplify right side
    86,351x = 41,433,009,601
  5. Step 5: Solve for x
    x = 41,433,009,601/86,351
  6. Step 6: Final answer
    x = 479,820.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.