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Finding the Third Proportional to 189,964 and 300,802

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Solution

The third proportional to 189,964 and 300,802 is: 476,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,964 : 300,802 = 300,802 : x
  2. Step 2: Convert to fraction form
    189,964/300,802 = 300,802/x
  3. Step 3: Cross multiply
    189,964x = 300,802 × 300,802
  4. Step 4: Simplify right side
    189,964x = 90,481,843,204
  5. Step 5: Solve for x
    x = 90,481,843,204/189,964
  6. Step 6: Final answer
    x = 476,310.48

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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.