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Finding the Third Proportional to 206,447 and 301,704

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Solution

The third proportional to 206,447 and 301,704 is: 440,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,447 : 301,704 = 301,704 : x
  2. Step 2: Convert to fraction form
    206,447/301,704 = 301,704/x
  3. Step 3: Cross multiply
    206,447x = 301,704 × 301,704
  4. Step 4: Simplify right side
    206,447x = 91,025,303,616
  5. Step 5: Solve for x
    x = 91,025,303,616/206,447
  6. Step 6: Final answer
    x = 440,913.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.