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Finding the Third Proportional to 191,055 and 400,698

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Solution

The third proportional to 191,055 and 400,698 is: 840,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,055 : 400,698 = 400,698 : x
  2. Step 2: Convert to fraction form
    191,055/400,698 = 400,698/x
  3. Step 3: Cross multiply
    191,055x = 400,698 × 400,698
  4. Step 4: Simplify right side
    191,055x = 160,558,887,204
  5. Step 5: Solve for x
    x = 160,558,887,204/191,055
  6. Step 6: Final answer
    x = 840,380.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.