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Finding the Third Proportional to 191,797.88 and 300,872.81

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Solution

The third proportional to 191,797.88 and 300,872.81 is: 471,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,797.88 : 300,872.81 = 300,872.81 : x
  2. Step 2: Convert to fraction form
    191,797.88/300,872.81 = 300,872.81/x
  3. Step 3: Cross multiply
    191,797.88x = 300,872.81 × 300,872.81
  4. Step 4: Simplify right side
    191,797.88x = 90,524,449,301.66
  5. Step 5: Solve for x
    x = 90,524,449,301.66/191,797.88
  6. Step 6: Final answer
    x = 471,978.37

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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.