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Finding the Third Proportional to 197,199.25 and 431,919.21

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Solution

The third proportional to 197,199.25 and 431,919.21 is: 946,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199.25 : 431,919.21 = 431,919.21 : x
  2. Step 2: Convert to fraction form
    197,199.25/431,919.21 = 431,919.21/x
  3. Step 3: Cross multiply
    197,199.25x = 431,919.21 × 431,919.21
  4. Step 4: Simplify right side
    197,199.25x = 186,554,204,776.89
  5. Step 5: Solve for x
    x = 186,554,204,776.89/197,199.25
  6. Step 6: Final answer
    x = 946,018.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.