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Finding the Third Proportional to 196,520 and 421,075

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Solution

The third proportional to 196,520 and 421,075 is: 902,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,520 : 421,075 = 421,075 : x
  2. Step 2: Convert to fraction form
    196,520/421,075 = 421,075/x
  3. Step 3: Cross multiply
    196,520x = 421,075 × 421,075
  4. Step 4: Simplify right side
    196,520x = 177,304,155,625
  5. Step 5: Solve for x
    x = 177,304,155,625/196,520
  6. Step 6: Final answer
    x = 902,219.40

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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.