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Finding the Third Proportional to 199,744 and 301,744

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Solution

The third proportional to 199,744 and 301,744 is: 455,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,744 : 301,744 = 301,744 : x
  2. Step 2: Convert to fraction form
    199,744/301,744 = 301,744/x
  3. Step 3: Cross multiply
    199,744x = 301,744 × 301,744
  4. Step 4: Simplify right side
    199,744x = 91,049,441,536
  5. Step 5: Solve for x
    x = 91,049,441,536/199,744
  6. Step 6: Final answer
    x = 455,830.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.