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Finding the Third Proportional to 191,784 and 300,198

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Solution

The third proportional to 191,784 and 300,198 is: 469,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,784 : 300,198 = 300,198 : x
  2. Step 2: Convert to fraction form
    191,784/300,198 = 300,198/x
  3. Step 3: Cross multiply
    191,784x = 300,198 × 300,198
  4. Step 4: Simplify right side
    191,784x = 90,118,839,204
  5. Step 5: Solve for x
    x = 90,118,839,204/191,784
  6. Step 6: Final answer
    x = 469,897.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.