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Finding the Third Proportional to 191,151.75 and 446,439.75

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Solution

The third proportional to 191,151.75 and 446,439.75 is: 1,042,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,151.75 : 446,439.75 = 446,439.75 : x
  2. Step 2: Convert to fraction form
    191,151.75/446,439.75 = 446,439.75/x
  3. Step 3: Cross multiply
    191,151.75x = 446,439.75 × 446,439.75
  4. Step 4: Simplify right side
    191,151.75x = 199,308,450,380.06
  5. Step 5: Solve for x
    x = 199,308,450,380.06/191,151.75
  6. Step 6: Final answer
    x = 1,042,671.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.