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Finding the Third Proportional to 196,626 and 295,911

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Solution

The third proportional to 196,626 and 295,911 is: 445,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,626 : 295,911 = 295,911 : x
  2. Step 2: Convert to fraction form
    196,626/295,911 = 295,911/x
  3. Step 3: Cross multiply
    196,626x = 295,911 × 295,911
  4. Step 4: Simplify right side
    196,626x = 87,563,319,921
  5. Step 5: Solve for x
    x = 87,563,319,921/196,626
  6. Step 6: Final answer
    x = 445,329.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.