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Finding the Third Proportional to 189,965 and 300,801

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Solution

The third proportional to 189,965 and 300,801 is: 476,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,965 : 300,801 = 300,801 : x
  2. Step 2: Convert to fraction form
    189,965/300,801 = 300,801/x
  3. Step 3: Cross multiply
    189,965x = 300,801 × 300,801
  4. Step 4: Simplify right side
    189,965x = 90,481,241,601
  5. Step 5: Solve for x
    x = 90,481,241,601/189,965
  6. Step 6: Final answer
    x = 476,304.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.