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Finding the Third Proportional to 199,964.56 and 282,943.84

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Solution

The third proportional to 199,964.56 and 282,943.84 is: 400,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,964.56 : 282,943.84 = 282,943.84 : x
  2. Step 2: Convert to fraction form
    199,964.56/282,943.84 = 282,943.84/x
  3. Step 3: Cross multiply
    199,964.56x = 282,943.84 × 282,943.84
  4. Step 4: Simplify right side
    199,964.56x = 80,057,214,847.65
  5. Step 5: Solve for x
    x = 80,057,214,847.65/199,964.56
  6. Step 6: Final answer
    x = 400,357.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.