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Finding the Third Proportional to 132,864 and 199,844

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Solution

The third proportional to 132,864 and 199,844 is: 300,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,864 : 199,844 = 199,844 : x
  2. Step 2: Convert to fraction form
    132,864/199,844 = 199,844/x
  3. Step 3: Cross multiply
    132,864x = 199,844 × 199,844
  4. Step 4: Simplify right side
    132,864x = 39,937,624,336
  5. Step 5: Solve for x
    x = 39,937,624,336/132,864
  6. Step 6: Final answer
    x = 300,590.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.