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Finding the Third Proportional to 191,301.75 and 419,952.94

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Solution

The third proportional to 191,301.75 and 419,952.94 is: 921,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,301.75 : 419,952.94 = 419,952.94 : x
  2. Step 2: Convert to fraction form
    191,301.75/419,952.94 = 419,952.94/x
  3. Step 3: Cross multiply
    191,301.75x = 419,952.94 × 419,952.94
  4. Step 4: Simplify right side
    191,301.75x = 176,360,469,714.88
  5. Step 5: Solve for x
    x = 176,360,469,714.88/191,301.75
  6. Step 6: Final answer
    x = 921,896.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.