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Finding the Third Proportional to 196,749 and 420,849

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Solution

The third proportional to 196,749 and 420,849 is: 900,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,749 : 420,849 = 420,849 : x
  2. Step 2: Convert to fraction form
    196,749/420,849 = 420,849/x
  3. Step 3: Cross multiply
    196,749x = 420,849 × 420,849
  4. Step 4: Simplify right side
    196,749x = 177,113,880,801
  5. Step 5: Solve for x
    x = 177,113,880,801/196,749
  6. Step 6: Final answer
    x = 900,202.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.