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Finding the Third Proportional to 191,149.88 and 397,973.25

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Solution

The third proportional to 191,149.88 and 397,973.25 is: 828,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,149.88 : 397,973.25 = 397,973.25 : x
  2. Step 2: Convert to fraction form
    191,149.88/397,973.25 = 397,973.25/x
  3. Step 3: Cross multiply
    191,149.88x = 397,973.25 × 397,973.25
  4. Step 4: Simplify right side
    191,149.88x = 158,382,707,715.56
  5. Step 5: Solve for x
    x = 158,382,707,715.56/191,149.88
  6. Step 6: Final answer
    x = 828,578.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.